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Which quadrants and axes does #f(x)=-xe^x# pass through?

Answer 1

Nathan Axel

#f(x)# runs through Q2 and Q4, intersecting both axes at #(0, 0)#.

Given:

#f(x) = -xe^x#

Note that:

So the quadrant/axes behaviour of #f(x) = -xe^x# is the same as that of #y = -x#.

Note that #y = -x# means that #x# and #y# are of opposite signs, except at #(0, 0)#.

So #f(x)# runs through Q2 and Q4, intersecting both axes at #(0, 0)#.

graph{-xe^x [-10, 10, -5, 5]}

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Answer 2

Savannah Anderson

Savannah Anderson

The function ( f(x) = -xe^x ) passes through Quadrants II and IV and intersects both the x-axis and the y-axis.

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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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