### Video Transcript

The diagram shows the graph π¦ equals π of π₯. What is the solution set of the equation π of π₯ equals zero?

When weβre looking for π of π₯ equal to zero, weβre interested in the place where π¦ equals zero. The origin of our graph is the place where π¦ equals zero and π₯ equals zero. π¦ equal zero represents a height that is not positive or negative, a height of zero. The line π¦ equals zero is the π₯-axis. And the place where our function crosses the π₯-axis is called the π₯-intercepts.

In this function, thereβs an intercept at negative three, zero and at one, zero. A solution set of π of π₯ equals zero is the set of π₯-values for which π of π₯ is zero. Weβre looking for the π₯-values that when you put them into the function, the π¦-value equals zero. And thatβs going to be one and negative three. Set notation is the curly brackets. The two places that make this equation equal to zero is negative three and one for π₯.