suppose that a function of f has exactly three xintercepts W

suppose that a function of f has exactly three x-intercepts. Which of the following must be true.

A. f is a cubic polynomial function.

B. There are three points on the graph of f which have x-coordinates of 0.

C. The equation f (x) = 0 has exactly three real-number solutions.

D. f is an invertible function.

Solution

Given that function of f has exactly three x-intercepts

A. f is a cubic polynomial function. is a false statement since we didnt know the multiplicity of zeroes

the above statement is true iff each zero if of multiplicity 1

B. There are three points on the graph of f which have x-coordinates of 0 is a true statement

C. The equation f (x) = 0 has exactly three real-number solutions is also true statement

suppose that a function of f has exactly three x-intercepts. Which of the following must be true. A. f is a cubic polynomial function. B. There are three points

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