Question

HELP

is x^3

a function, but not a one to one function?

Answer 1

f(x) = x^3 is a function that is also one-to-one

Answer 2

if f(a) = f(b) leads to a = b, then f(x) is a one-to-one function, so let's prove that

Answer 3

f(x) = x^3

f(a) = a^3

-----------

f(x) = x^3

f(b) = b^3

-----------

f(a) = f(b)

a^3 = b^3

a = b ... take the cube root of both sides

So this proves that f(x) = x^3 is a one-to-one function

Answer 4

Ah, thank you!

Answer 5

np