Match the set described with the correct interval notation. Choices may be used once, more than once, or not at all.
-range of $f(x)=x^{2}-5$
A) $(-\infty, \infty)$
B) $[0, \infty)$
C) $(-\infty, 0]$
D) $[-5, \infty)$
E) $(5, \infty)$
F) $(-5, \infty)$
G) $(-\infty, 5]$
H) $[5, \infty)$

Question

Quizplus · Accepted Answer

The function $f(x) = x^2 - 5$ is a parabola opening upwards with its vertex at $(-5)$ on the y-axis. This means the lowest value of $f(x)$ is $-5$, and it increases to infinity as $x$ moves away from the vertex in both directions. Therefore, the correct interval notation for its range is $[-5, \infty)$.

Match the Set Described with the Correct Interval Notation f(x)=x2−5f(x)=x^{2}-5f(x)=x2−5 A) (−∞,∞)(-\infty, \infty)(−∞,∞)

Match the Set Described with the Correct Interval Notation $f(x)=x^{2}-5$ A) $(-\infty, \infty)$