Question

Suppose that the function g is defined, for all real numbers, as follows. g(x)= -3&if x ne0\\ 1&if x=0 Graph the function g.

Answer 1

Given:

There is a piecewise finction given as

$g(x)=\begin{cases}{-3\text{ if x}\ne0} \\ {\placeholder{⬚}} \\ 1\text{ if x}=0{}\end{cases}$

Required:

We need to graph the function g

Explanation:

Here at x in not 0 we get y=g(x)=-3 and when x is zero we get y=g(x)=1 menas (0,1) point

so the graph is as below