Chapter 1.3, Problem 23E

To determine

To Find: Use the Vertical line test to determine whether $y$ as a function of $x$ .Describe how you can use the graphing utility to produce the given graph.

Answer to Problem 23E

Yes, $y$ is a function of $x$

Explanation of Solution

Given: $y=\frac{1}{2}{x}^2$

  

Given: $y=\frac{1}{2}{x}^2$

The graph of the function is

  

Vertical line test says that if a vertical line intersects the graph more than once, then the graph does not represent a function.

Here

The vertical line intersects the graph only once

Thus

  $y$ is a function of $x$