Determine whether or not the function is one-to-one.
-$f ( x ) = x ^ { 2 } - 4$
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 function $f(x) = x^2 - 4$ is not one-to-one because it fails the horizontal line test; for example, $f(2) = 2^2 - 4 = 0$ and $f(-2) = (-2)^2 - 4 = 0$, so two different x-values (2 and -2) give the same y-value (0).

Determine Whether or Not the Function Is One-To-One f(x)=x2−4f ( x ) = x ^ { 2 } - 4f(x)=x2−4

Determine Whether or Not the Function Is One-To-One $f ( x ) = x ^ { 2 } - 4$