Suppose that for a function f the equation fx 0 has exactly

Suppose that for a function f, the equation f(x) = 0 has exactly two real-number solutions. Which of the following statements MUST be true? A. f has exactly two x-intercepts. B. f has exactly two y-intercepts. C. f is a quadratic function. D. f is an invertible function.

Solution

It is given that the function f(x) = 0 has two real roots. Then it is 100% surety that the function will have exactly two x- intercepts.

The function can be or cannot be quadratic as there may or may not be imaginary roots . So, the only possible solution is f(x) has exactly two x- intercepts.

OPTION A