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Advanced Math
/ Nonlinear functions
Difficulty: Medium
If the given function is graphed in the xy-plane, where , what is the x-coordinate of an x-intercept of the graph?
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Explanation
The correct answer is either or . The x-intercepts of a graph in the xy-plane are the points where . Thus, for an x-intercept of the graph of , . Substituting for in the equation yields . By the zero product property, and . Subtracting from both sides of the equation yields . Adding to both sides of the equation yields . Therefore, the x-coordinates of the x-intercepts of the graph of are and . Note that -6 and 4 are examples of ways to enter a correct answer.