Find the range of the quadratic function.
-$$f ( x ) = x ^ { 2 } + 5$$
A) $[ 5 , \infty )$
B) $( - \infty , 5 ]$
C) $[ - 5 , \infty )$
D) $[ 0 , \infty )$

Question

Quizplus · Accepted Answer

The quadratic function $f(x) = x^2 + 5$ is a parabola opening upwards with its vertex at $(0, 5)$. The lowest value of $f(x)$ is 5, which occurs at $x = 0$. For any other value of $x$, $f(x) > 5$. Therefore, the range of $f(x)$ is $[5, \infty)$.

Find the Range of the Quadratic Function f(x)=x2+5f ( x ) = x ^ { 2 } + 5f(x)=x2+5

Find the Range of the Quadratic Function $f ( x ) = x ^ { 2 } + 5$