How do you determine if # -2x^4-4x+6# is an even or odd function?

Answer 1

neither even nor odd.

Examine the following to see if a function is even or odd.

• f(x) is even if f(x)=f(-x).

About the y-axis, even functions are symmetrical.

• f(x) is odd if f(-x) = - f(x).

About the origin, odd functions exhibit half-turn symmetry.

Check for even

#f(-x)=-2(-x)^4-4(-x)+6=-2x^4+4x+6#

f(x) is not even since f(x) ≠ f(-x)

Check for odd

#-f)x)=-(-2x^4-4x+6)=2x^4+4x-6#

f(x) is not odd since - f(x) ≠ f( -x)

Function is therefore neither even nor odd, as shown by graph{-2x^4-4x+6 [-20, 20, -10, 10]}.

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Answer 2

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In this case, weTo determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

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In this case, we evaluate theTo determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

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In this case, we evaluate the function at ( -To determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

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In this case, we evaluate the function at ( -xTo determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

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  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x \To determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

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  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and seeTo determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(xTo determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see ifTo determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x)To determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if itTo determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) \To determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matchesTo determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) )To determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches theTo determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) forTo determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original functionTo determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for allTo determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function orTo determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all (To determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or itsTo determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( xTo determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negativeTo determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x \To determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

To determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x )To determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

-To determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x ) inTo determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

  • (To determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x ) in itsTo determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

  • ( fTo determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x ) in its domain.

ByTo determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

  • ( f(-To determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x ) in its domain.

By substitTo determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

  • ( f(-xTo determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x ) in its domain.

By substituting (To determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

  • ( f(-x)To determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x ) in its domain.

By substituting ( -To determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

  • ( f(-x) =To determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x ) in its domain.

By substituting ( -xTo determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

  • ( f(-x) = -To determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x ) in its domain.

By substituting ( -x \To determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

  • ( f(-x) = -2To determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x ) in its domain.

By substituting ( -x )To determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

  • ( f(-x) = -2(-To determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x ) in its domain.

By substituting ( -x ) intoTo determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

  • ( f(-x) = -2(-xTo determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x ) in its domain.

By substituting ( -x ) into the function andTo determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

  • ( f(-x) = -2(-x)^4 -To determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x ) in its domain.

By substituting ( -x ) into the function and simplTo determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

  • ( f(-x) = -2(-x)^4 - To determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x ) in its domain.

By substituting ( -x ) into the function and simplifyingTo determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

  • ( f(-x) = -2(-x)^4 - 4To determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x ) in its domain.

By substituting ( -x ) into the function and simplifying,To determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

  • ( f(-x) = -2(-x)^4 - 4(-To determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x ) in its domain.

By substituting ( -x ) into the function and simplifying, weTo determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

  • ( f(-x) = -2(-x)^4 - 4(-xTo determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x ) in its domain.

By substituting ( -x ) into the function and simplifying, we canTo determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

  • ( f(-x) = -2(-x)^4 - 4(-x)To determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x ) in its domain.

By substituting ( -x ) into the function and simplifying, we can determineTo determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

  • ( f(-x) = -2(-x)^4 - 4(-x) +To determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x ) in its domain.

By substituting ( -x ) into the function and simplifying, we can determine ifTo determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

  • ( f(-x) = -2(-x)^4 - 4(-x) + To determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x ) in its domain.

By substituting ( -x ) into the function and simplifying, we can determine if itTo determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

  • ( f(-x) = -2(-x)^4 - 4(-x) + 6To determine if ( -2x^4 - 4x + 6 ) is an even or odd function, we examine its symmetry properties.

( -2x^4 - 4x + 6 ) is an even function if ( f(-x) = f(x) ) for all ( x ) in its domain. It is an odd function if ( f(-x) = -f(x) ) for all ( x ) in its domain.

By substituting ( -x ) into the function and simplifying, we can determine if it meets either condition.To determine if the function ( -2x^4 - 4x + 6 ) is even or odd, we need to check its symmetry properties:

  1. For even functions, ( f(x) = f(-x) ) for all ( x ).
  2. For odd functions, ( f(x) = -f(-x) ) for all ( x ).

In this case, we evaluate the function at ( -x ) and see if it matches the original function or its negative.

  • ( f(-x) = -2(-x)^4 - 4(-x) + 6 )
  • ( f(-x) = -2x^4 + 4x + 6 )

The function ( f(-x) ) is not equal to ( f(x) ), and it is not equal to the negative of ( f(x) ). Therefore, the function ( -2x^4 - 4x + 6 ) is neither even nor odd.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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