SOLUTION: Determine if the function is one-to-one. f(x)=3x^3+6

Algebra.Com
Question 1096111: Determine if the function is one-to-one.
f(x)=3x^3+6

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
Graph it

This does meet the vertical and horizontal line tests. While the graph looks flat near the y-axis, it is constantly increasing as the negative x s near 0 are gradually getting smaller and the positive x s near 0 are gradually getting larger with the cube.

RELATED QUESTIONS

List the possible rational zeros the function f(x) = {{{3x^3-21x+18}}}? Describe and use... (answered by josgarithmetic)
f(x)=3x+4 a) Determine whether the function is one-to-one B) If it is one-to-one,... (answered by rothauserc)
Determine whether or not the function is one to one. f (x)=x^2-3 (answered by MathLover1)
Determine whether the given function is one-to-one. If it is one-to-one, find its... (answered by Theo)
the function f is one to one. Find its inverse... (answered by stanbon,katealdridge)
f(x)=6-3x^2,if x<0 find the inverse of the one to one function... (answered by MathLover1)
Determine if given function is one to one. If it is, find the formula for the... (answered by stanbon,jim_thompson5910,gonzo)
Use a graphing utility to determine whether the function is one-to-one. f(x) = x^3 -... (answered by ewatrrr)
List the possible rational zeros the function f(x) = {{{ 3x^3 - 21x + 18}}}? Describe and (answered by stanbon)