### Video Transcript

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

We know that π¦ equals π of
π₯. And weβre looking for the place
where π of π₯ equals zero. That will be the place for this
quadratic where π¦ equals zero. And π¦ equals zero at the
π₯-intercept. π¦ equals zero along the
π₯-axis. And this function is crossing the
π₯-axis at negative two. Therefore, the π₯-intercept is
negative two, zero. But the solution set will be the
π₯-value that makes π of π₯ equal to zero. And that means instead of
coordinate form, weβre only interested in the π₯-coordinate. This function equals zero when π₯
equals negative two. Therefore, the solution set will
only include the value negative two.