Determine whether the function is one-to-one. $f ( x ) = x ^ { 4 }$
A)no
B)yes

Question

Quizplus · Accepted Answer

A function is one-to-one if each input (x-value) corresponds to a unique output (y-value). However, in the case of this function, there are multiple inputs that give the same output. For example, f(-2) = 16 and f(2) = 16, so there are two different inputs (-2 and 2) that produce the same output (16). Therefore, this function is not one-to-one.

Determine Whether the Function Is One-To-One f(x)=x4f ( x ) = x ^ { 4 }f(x)=x4

Determine Whether the Function Is One-To-One $f ( x ) = x ^ { 4 }$