Match the set described with the correct interval notation. Choices may be used once, more than once, or not at all.
-range of $f(x)=\sqrt[3]{x}+5$
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 $f(x)=\sqrt[3]{x}+5$ is a cubic root function shifted up by 5 units. Cubic root functions have domain and range of all real numbers, $(-\infty, \infty)$, because you can take the cubic root of any real number and the output can also be any real number.

Match the Set Described with the Correct Interval Notation f(x)=x3+5f(x)=\sqrt[3]{x}+5f(x)=3x​+5 A) (−∞,∞)(-\infty, \infty)(−∞,∞)

Match the Set Described with the Correct Interval Notation $f(x)=\sqrt[3]{x}+5$ A) $(-\infty, \infty)$