Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 1, and 3

Which of the following functions best represents the graph?

f (x) = (x + 3) (x - 3) (x - 9)

f (x) = (x + 3) (x - 3) (x + 9)

f (x) = (x + 3) (x - 3) (x - 1)

f (x) = (x + 3) (x - 3) (x + 1)

Question

William Yoder

Mathematics

24 October, 00:08

Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 1, and 3

Which of the following functions best represents the graph?

f (x) = (x + 3) (x - 3) (x - 9)

f (x) = (x + 3) (x - 3) (x + 9)

f (x) = (x + 3) (x - 3) (x - 1)

f (x) = (x + 3) (x - 3) (x + 1)

+3

Answers (1)

Know the Answer?

Toby · Answer 1

The best is f (x) = (x + 3) (x - 3) (x + 1).

Step-by-step explanation:

The coefficient of x^3 will be positive because of where the graph rises and falls.

As one of the x intercepts is negative 3 one of the factors will be (x + 3).

By the same reasoning the other 2 factors will be (x - 3) and (x + 1).