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Given the piecewise function #f(x)= 3,x<=0#, #2, if x> 0#, how do you evaluate f(-4)?

Answer 1

Ariana Alvarez

#f(-4)=3#

Since #-4<0#, we use the relevant definition of the compound function to find that #f(-4)=3 AAx<=0#

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Answer 2

Greyson Brown

To evaluate f(-4) for the given piecewise function ( f(x) = \begin{cases} 3, & \text{if } x \leq 0 \ 2, & \text{if } x > 0 \end{cases} ), we need to check the condition that applies to the value of x.

In this case, x is less than or equal to 0, so we use the first part of the function where ( f(x) = 3 ).

Therefore, ( f(-4) = 3 ).

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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.

Given the piecewise function #f(x)= 3,x&lt;=0#, #2, if x&gt; 0#, how do you evaluate f(-4)?

Given the piecewise function #f(x)= 3,x<=0#, #2, if x> 0#, how do you evaluate f(-4)?