Question

4. Evaluate the piecewise function at the indicated values from the domain: ƒ(−8) = −2 ƒ(−8) = 8ƒ(−8) = 0ƒ(−8) = 64

Answer 1

Solution:

Given the piecewise function below

$f(x)=\begin{cases}x^2,\text{ if x<0} \\ \sqrt[3]{x},\text{ if x>0}\end{cases}at\text{ x}=-8$

At x = -8

$\begin{gathered} f(x)=x^2 \\ f(-8)=(-8)^2=64 \\ f(-8)=64 \end{gathered}$

Hence, the answer is

$f(-8)=64$