Match the set described with the correct interval notation. Choices may be used once, more than once, or not at all.
-domain of $x=y^{2}+9$
A) $[0, \infty)$
B) $[9, \infty)$
C) $(-\infty, 9]$
D) $(-9, \infty)$
E) $(-\infty, \infty)$
F) $(9, \infty)$
G) $(-\infty, 0]$
H) $[-9, \infty)$

Question

Quizplus · Accepted Answer

The domain of $x=y^{2}+9$ is determined by the range of values $x$ can take. Since $y^{2}$ is always non-negative (i.e., $y^{2} \geq 0$), adding 9 to $y^{2}$ means $x$ can take any value starting from 9 to infinity. Thus, the correct interval notation is $[9, \infty)$.

Match the Set Described with the Correct Interval Notation x=y2+9x=y^{2}+9x=y2+9 A) [0,∞)[0, \infty)[0,∞)

Match the Set Described with the Correct Interval Notation $x=y^{2}+9$ A) $[0, \infty)$