Question

Evaluate each piecewise function for x 8 and x 5.

Answer 1

Given the function:

`f(x)=\begin{cases}2x\text{ if x <0} \\ 0\text{ if x}\ge0\end{cases}`

Let's evaluate the function for x = -8 and x = 5.

• For x = -8

Using the piecewise function, when x is less than 0, we have:

f(x) = 2x

Thus, for x = -8, substitute -8 for x and evaluate.

f(-8) = 2(-8) = -16

f(-8) = -16

• For x = 5

Using the piecewise function, when x is greater than or equal to 0, we have:

f(x) = 0

Thus, we have:

f(5) = 0

ANSWER:

• For x = -8; f(x) = -16

• For x = 5; f(x) = 0