Given:
The function is,
[tex]F(x)=-|x|+2[/tex]
The graph of the given function is,
The vertex is given by,
[tex]\begin{gathered} \text{solve for |x|=0 }\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}[/tex]
The domain is set of all possible values of inputs for the function.
So for the given function domain is,
[tex]-\inftyThe range is the set of output values.[tex]undefined[/tex]
