SOLUTION: Suppose that for a function f , the equation f (x) = 0 has exactly three real-number solutions. Which of the following statements MUST be true?

Question 1146857: Suppose that for a function f , the equation f (x) = 0 has exactly three real-number solutions.

Which of the following statements MUST be true? A. f is a polynomial of degree 3.
B. f is an invertible function.
C. f has exactly three y-intercepts.
D. f has exactly three x-intercepts
Answer by ikleyn(52795) (Show Source): You can put this solution on YOUR website!
.

The given condition is EQUIVALENT to statement D.

So, D must be true.

The other options are irrelevant.

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