Question

Which of the following functions best represents the graph?

Answer 1

Answer:

Option: C is the correct answer.

$f(x)=x^3+x^2-9x-9$

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)

$f(x)=x^3+2x^2-4x-8$

when x=3

$f(x)=3^3+2\times 3^2-4\times 3-8\\\\f(x)=27+18-12-8\\\\f(x)=25\neq0$

Hence, option A is incorrect.

B)

$f(x)=x^3+4x^2-x-4$

when x=3

$f(x)=27+36-3-4\\\\f(x)=56\neq0$

Hence, option B is incorrect.

D)

$f(x)=x^3+3x^2-3x-9$

when x=3

$f(x)=27+27-9-9\\\\f(x)=36\neq0$

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:

$f(x)=x^3+x^2-9x-9$

Answer 2

Hello there!
the answer would be A 

Hope this helps! :)
~Zain