Question

Use the piecewise function below to evaluate the points f(–3), f(0), and f(–1).

Answer 1

Given:

The piecewise function is:

$f(x)=\begin{cases}9x & \text{ if } x$

To find:

The values of $f(-3),f(0), f(-1)$.

Solution:

In the given piecewise function,

$f(x)=9x$ for $x$ and $f(x)=x-4$ for $x\geq -1$.

Putting $x=-3$ in $f(x)=9x$, we get

$f(-3)=9(-3)$

$f(-3)=27$

Putting $x=0$ in $f(x)=x-4$, we get

$f(0)=0-4$

$f(0)=-4$

Putting $x=-1$ in $f(x)=x-4$, we get

$f(-1)=-1-4$

$f(-1)=-5$

The required values are $f(-3)=27,f(0)=-4,f(-1)=-5$.

Therefore, the correct option is D.