Question

The graph of f(x) is given on the right. Which roots of f(x) have an odd multiplicity? -1 1 3 On a coordinate plane, a function goes through the x-axis at (negative 1, 0) and (3, 0). The function has minimum values at (negative 0.5, negative 4) and (2.5, negative 4).

Answer 1

The roots of f(x) with an odd multiplicity are -1 and 3. A root of a polynomial function is a value of x that makes the function equal to zero. The multiplicity of a root is the number of times it appears as a factor in the polynomial.

In this case, the function goes through the x-axis at (-1, 0) and (3, 0), which means that these are the roots of f(x). The minimum values of the function are at (-0.5, -4) and (2.5, -4).