Determine whether or not the function is one-to-one.
-$f ( x ) = 8 x ^ { 2 } + 1$
A) No
B) Yes

Question

Quizplus · Accepted Answer

A function is one-to-one if each x-value corresponds to exactly one y-value and each y-value corresponds to exactly one x-value. The given function $f(x) = 8x^2 + 1$ is a quadratic function, which is not one-to-one because it does not pass the horizontal line test; for some y-values, there are two corresponding x-values.

Determine Whether or Not the Function Is One-To-One f(x)=8x2+1f ( x ) = 8 x ^ { 2 } + 1f(x)=8x2+1

Determine Whether or Not the Function Is One-To-One $f ( x ) = 8 x ^ { 2 } + 1$