Question

Graph the following piecewise functions for the specified domain.

a. f(x) = |x + 3| for −5 ≤ x ≤ 3

Answer 1

Answer with Step-by-step explanation:

We are given that a function

`f(x)=\mid{x+3}\mid` for
`-5\leq x\leq 3`

We have to graph for the specified domain.

`f(x)=\left\{\begin{matrix}-(x+3)&,if-5\leq x<-3\\x+3&,if-3<x\leq 3\\0,if x=-3\end{matrix}\right.`

Substitute x=-3

Then we get

`f(-3)=0`

Substitute x=0

Then we get
`f(0)=0+3=3`

Answer 2

Answer is given in the pictures

Explanation:

Refer the figure given to see the plots