SAT Math Multiple Choice Practice Question 200: Answer and Explanation

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Question: 200


The preceding graph represents f(x). How many solutions does the equation f(x) = -1 have?

A. zero
B. one
C. two
D. three
E. It cannot be determined from the information given.

Correct Answer: D


D. When the test writers (and math teachers in general) talk about f(x), they're really talking about the y-values on the graph. In this question, where you're asked about f(x) = -1, you really want to focus on when the y-value is -1. As you can see in the following graph, this happens three times, so f(x) = -1 has three solutions.

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