Chapter 8, Problem 10MCQ

Solution

To identify: How the graph of $y_2$ is related to the graph of $y_1$ . The functions are $y_1=\frac{4}{x}$ and $y_2=\frac{9}{x}$ .

Both the functions are related to each other because they have the same basic inverse variation form. The only difference is the constant value.

Given information:

The functions are $y_1=\frac{4}{x}$ and $y_2=\frac{9}{x}$ .

Explanation:

Consider the given function.

When multiply a function by a positive constant, then get a function with a graph that is stretched or compressed vertically in comparison to the original function's graph.

Both the functions are related to each other because they have the same basic inverse variation form. The only difference is the constant value.

So $y_2=\frac{9}{x}$ is just larger or stretched version of $y_1=\frac{4}{x}$ .