Question

Graph each function. Then identify the vertex, domain, and range. F(x)=-|x|+2

Answer 1

Given:

The function is,

`F(x)=-|x|+2`

The graph of the given function is,

The vertex is given by,

`\begin{gathered} \textsolve for \Rightarrow x=0 \\ \text{put the value of x=0 in given function} \\ it\text{ gives y=2} \\ So\text{ the vertex is (0,2)} \end{gathered}`

The domain is set of all possible values of inputs for the function.

So for the given function domain is,