Match the set described with the correct interval notation. Choices may be used once, more than once, or not at all.
-range of $f(x)=|x|+9$
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 function $f(x) = |x| + 9$ has a minimum value when $x = 0$, which gives $f(0) = |0| + 9 = 9$. For any other value of $x$, whether positive or negative, $|x|$ is positive, so $f(x)$ will be greater than 9. Therefore, the range of $f(x)$ is $[9, \infty)$.

Match the Set Described with the Correct Interval Notation f(x)=∣x∣+9f(x)=|x|+9f(x)=∣x∣+9 A) [0,∞)[0, \infty)[0,∞)

Match the Set Described with the Correct Interval Notation $f(x)=|x|+9$ A) $[0, \infty)$