Question

Which statement best describes the function: f(x)=x^3-x^2-9+9 ???


a. It is a many-to-one function.

b. It is not a function.

c. It is a one-to-one function.

d. It fails the vertical line test.

My answer: C. It is a one-to-one function

Am i right?? Please explain!! Thanks! :)

Answer 1

Hi! thanks for coming!!! Am i right? :)

Answer 2

yes,a cubic function is one-to-one

Answer 3

So my answer is correct since it is a cubic function?

Answer 4

and is it a cubic function because it is -9 +9??

Answer 5

Or is there a different explanation of a cubic function?

Answer 6

well -9+9 = 0
?

Answer 7

is that what a cubic function is?

Answer 8

x^3-x^2-9+9 = x^3 - x^2 = x^2(1-x)

let it be zero, you will get roots ... x=0 or x=1
f(0) = 0
f(1) = 0

Answer 9

it pass vertical line test.
but horizontal line test fails so not one to one function