Answer:
I do not have access to drawing tools. However, I can describe how to plot the function on a graph.
To plot the function h(x) = {-4, x < -3 and x+5, x > -3, you would start by drawing the x-y axes on a coordinate plane. Then, you would mark a point at x=-3 on the x-axis. At this point, the value of h(x) changes from -4 to x+5. So, you would draw a solid dot at (-3, 2) on the graph.
Next, you would draw a horizontal line at y=-4 to the left of x=-3, indicating that h(x) is always equal to -4 for x values less than -3.
Finally, you would draw a diagonal line starting from the dot at (-3, 2) and continuing to the right. This line represents the equation x+5 for x values greater than -3.
The resulting graph should have a horizontal line at y=-4 to the left of x=-3, a solid dot at (-3, 2), and a diagonal line extending to the right from the dot.
Explanation: