Which of the following functions best represents the graph?

a. f(x) = x3 + x2 − 4x − 4

b. f(x) = x3 + x2 − x − 1

c. f(x) = x3 + 3x2 − 4x − 12

d. f(x) = x3 + 2x2 − 2x − 1

B. f(x)=x³+x²-x-1

Step-by-step explanation:

The value of the graph f(x) shows that at x=1 and x=-1 must yield f(x)=0

which is true in case B.

A. f(1)=1+1-4-4= -6≠0

C. f(1)= 1+3-4-12=-12≠0

D.  f(-1)= -1+2+2-1= 2≠0

Hence, option B is correct

i.e. f(x)=  x³+x²-x-1