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:

i would say the third one.

step-by-step explanation: liner would mean in a line and the only one that doesn't look like it's even thinking about forming a line would be the third one

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: