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

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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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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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