Video Transcript
The diagram shows the graph of 𝑦
equals 𝑓 of 𝑥. What is the solution set of the
equation 𝑓 of 𝑥 equals zero?
Remember, given the graph of a
quadratic equation 𝑓 of 𝑥 equals 𝑎𝑥 squared plus 𝑏𝑥 plus 𝑐, the solutions to
the quadratic equation 𝑓 of 𝑥 equals zero correspond to the values of the
𝑥-intercepts. So all we need to do is identify
the location of the 𝑥-intercepts on our graph. Locating these, we see that there
is, in fact, only one 𝑥-intercept. It’s negative two. So there’s actually only one
solution to the equation 𝑓 of 𝑥 equals zero. That’s 𝑥 equals negative two. Now we have in fact been asked to
give the solution set to the equation 𝑓 of 𝑥 equals zero. So in set notation, it’s the set
containing the single element negative two.
