Determine whether the function is one-to-one.
-$$f ( x ) = x ^ { 2 } + 2$$
A)One-to-one
B)Not one-to-one

Question

Quizplus · Accepted Answer

The function $f(x) = x^2 + 2$ is not one-to-one because different inputs can produce the same output. For example, $f(1) = 1^2 + 2 = 3$ and $f(-1) = (-1)^2 + 2 = 3$. This shows that two different values of $x$ (1 and -1) give the same value of $f(x)$, which violates the definition of a one-to-one function.

Determine Whether the Function Is One-To-One f(x)=x2+2f ( x ) = x ^ { 2 } + 2f(x)=x2+2

Determine Whether the Function Is One-To-One $f ( x ) = x ^ { 2 } + 2$