Question

suppose that the function h is defined, for all real numbers, as follows h(x)={ - 3 if x≠0 - 2 if x = 0 graph the function h.

Explanation:

Step1: Analyze the function for $x

eq0$
For all $x$ values except $x = 0$, $h(x)=-3$. This represents a horizontal line $y = - 3$ on the coordinate - plane. We draw a horizontal line at $y=-3$ and use an open - circle at $x = 0$ to indicate that the point $(0,-3)$ is not part of the graph for this part of the function.

Step2: Analyze the function for $x = 0$

When $x = 0$, $h(x)=-2$. So we plot the point $(0,-2)$ as a closed - circle on the coordinate - plane.

Answer:

To graph the function $h(x)$: Draw a horizontal line $y=-3$ with an open - circle at the point $(0,-3)$ and then plot the point $(0,-2)$ as a closed - circle.