Which of the following functions best represents the graph?

a. f(x) = x3 + 2x2 − 4x − 8

b. f(x) = x3 + 4x2 − x − 4

c. f(x) = x3 + x2 − 9x − 9

d. f(x) = x3 + 3x2 − 3x − 9

Option: C is the correct answer.

Step-by-step explanation:

Clearly from the graph we could see that:

3 and -3 are zeros of the function f(x).

since the graph crosses these two points on the x-axis.

i.e. when x=3 or -3 ⇒ f(x)=0

Now when we put x=3 in each of the equation we see that:

A)

when x=3

Hence, option A is incorrect.

B)

when x=3

Hence, option B is incorrect.

D)

when x=3

Hence, option D is incorrect.

Hence all the three options are discarded.

Hence, option C is the correct answer.

The function best represents the graph is:

sine

step-by-step explanation: