Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 2, negative 1, and 2

Which of the following functions best represents the graph?

f (x) = x3 + x2 - 4x - 4

f (x) = x3 + 4x2 - x - 4

f (x) = x3 + 3x2 - 4x - 12

f (x) = x3 + 2x2 - 4x - 8

Question

Mathematics

Esther Lloyd

28 June, 18:14

Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 2, negative 1, and 2

Which of the following functions best represents the graph?

f (x) = x3 + x2 - 4x - 4

f (x) = x3 + 4x2 - x - 4

f (x) = x3 + 3x2 - 4x - 12

f (x) = x3 + 2x2 - 4x - 8

+2

Answers (1)

Know the Answer?

Makhi Levine · Answer 1

Based on the given intercepts, the factors of the polynomial are

f (x) = (x-2) (x+1) (x-2)

Multiplying the binomials would give us the correct answer. Multiplying the first two,

f (x) = (x2 - x - 2) (x-2)

Then multiplying the result with other binomial,

f (x) = x3 + x2 - 4x - 4

Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 2, negative 1, and 2Which of the following functions best represents the graph?f (x) = x3 + x2 - 4x - 4f (x) = x3 + 4x2 - x - 4f (x) = x3 + 3x2 - 4x - 12f (x) = x3 + 2x2 - 4x - 8

Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 2, negative 1, and 2

Which of the following functions best represents the graph?

f (x) = x3 + x2 - 4x - 4

f (x) = x3 + 4x2 - x - 4

f (x) = x3 + 3x2 - 4x - 12

f (x) = x3 + 2x2 - 4x - 8