Determine whether the function is a one-to-one function.
-$$y = x ^ { 2 } + 4 x + 11$$
A)Yes
B)No

Question

Quizplus · Accepted Answer

The function $y = x^2 + 4x + 11$ is not one-to-one because it is a quadratic function, which means its graph is a parabola. Parabolas are symmetric about their axis, so for some values of $y$, there are two different $x$ values that produce the same $y$ value, violating the one-to-one criterion where each $y$ value must correspond to exactly one $x$ value.

Determine Whether the Function Is a One-To-One Function y=x2+4x+11y = x ^ { 2 } + 4 x + 11y=x2+4x+11

Determine Whether the Function Is a One-To-One Function $y = x ^ { 2 } + 4 x + 11$