The diagram shows the graph of 𝑦
equals 𝑓 of 𝑥. What is the solution set of the
equation 𝑓 of 𝑥 equals zero?
We know that 𝑦 equals 𝑓 of
𝑥. And we’re looking for the place
where 𝑓 of 𝑥 equals zero. That will be the place for this
quadratic where 𝑦 equals zero. And 𝑦 equals zero at the
𝑥-intercept. 𝑦 equals zero along the
𝑥-axis. And this function is crossing the
𝑥-axis at negative two. Therefore, the 𝑥-intercept is
negative two, zero. But the solution set will be the
𝑥-value that makes 𝑓 of 𝑥 equal to zero. And that means instead of
coordinate form, we’re only interested in the 𝑥-coordinate. This function equals zero when 𝑥
equals negative two. Therefore, the solution set will
only include the value negative two.