Find the x-intercepts (if any) of the graph of the function. If the x-intercepts are irrational, round your answers to the
nearest tenth.
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A) x-intercepts: (-9, 0) and (-10, 0)
B) No x-intercepts
C) x-intercepts: (9, 0) and (10, 0)
D) x-intercepts: (9, 0) and (-10, 0)

Question

Find the x-intercepts (if any) of the graph of the function. If the x-intercepts are irrational, round your answers to the
nearest tenth.
-
A) x-intercepts: (-9, 0) and (-10, 0) 
B) No x-intercepts 
C) x-intercepts: (9, 0) and (10, 0) 
D) x-intercepts: (9, 0) and (-10, 0)

Quizplus · Accepted Answer

Since the problem states "round your answers to the nearest tenth" and answer choices A and D have an irrational x-intercept with a decimal that goes on forever, those choices can be eliminated. Answer choice B states that there are no x-intercepts, which is not possible for a quadratic function. Therefore, the only possible answer is C, which has rational x-intercepts of (9,0) and (10,0). The function has two intercepts on the x-axis, which means that there are two solutions for f(x) = 0. Since the x-intercepts are both positive, it rules out options A and D, which have  negative values. Option B states that there are no x-intercepts, which contradicts the given information that there are intercepts. Therefore, the best choice is C, which accurately identifies the x-intercepts as (9, 0) and (10, 0).

Find the X-Intercepts (If Any) of the Graph of the Function