Video Transcript
If the graph of the quadratic
function π cuts the π₯-axis at the points negative three, zero and negative nine,
zero, what is the solution set of π of π₯ equals zero in the set of real
numbers?
Now remember, if weβre given the
graph of a function, we can find the solutions to π of π₯ equals zero by locating
the π₯-intercepts or zeros of the function. Now, in this case, weβre not
actually given a graph, but we are told the coordinates at which the function cuts
the π₯-axis. Itβs negative three, zero and
negative nine, zero. Since the first number in each
ordered pair corresponds to the value of π₯ here, we can say that the solutions to
the equation π of π₯ equals zero are π₯ equals negative three and π₯ equals
negative nine. Using set notation, the solution
set of π of π₯ equals zero in the set of real numbers is the set containing the
elements negative three and negative nine.
