Question

Graph the following solutionPlease plot two points and show exactly where the points are on the graph

Answer 1

- In order to plot the graph of the function given, we need:

1. A table of values

2. To plot the values in the table

3. Join all the points with a line or curve.

- Let us follow these steps to solve the question

Step 1: Table of values:

- The table of values will contain 2 points and the center of the graph for clarity.

- The table of values is gotten by choosing x = -4, -3, and -2. These values are then substituted into the function to get the corresponding y-values.

- For example

`\begin{gathered} \text{ When }x=-4 \\ g(x)=(x+3)^3 \\ \text{put }x=-4 \\ g(-4)=(-4+3)^3=(-1)^3 \\ \\ \therefore g(-4)=-1 \\ \\ \text{Thus, when }x=-4,\text{ }y=-1 \\ (\text{Note: }y=g(x)) \end{gathered}`

- We form the remaining y-values following this same process. The table of values is given below

Step 2: Plot the values:

- The plot of the values on a graph is given below

Step 3: Join all the points with a line or curve: