Question

Determine which statement is true about the zeros of the function graphed below.

A.
Function f has one real solution and one complex solution.
B.
Function f has exactly two complex solutions.
C.
Function f has exactly one real solution and no complex solutions.
D.
Function f has exactly two real solutions.

Answer 1

The correct answer is B.

Explanation:

In this graph we can see a "Parabola", this is the curve for a second degree polynomial function, and based on "Fundamental theorem of algebra" we can know that this polynomial has 2 roots (they can be real or imaginary).

In this graph, the curve doesn't touch the X axis, so we know that this function has not real root. So both roots are complex