Determine whether the absolute value function $f(x)$ has zero, one, or two $x$-intercepts.
-$f(x)=-|x+9|-21$
A) 1
B) 0
C) 2

Question

Quizplus · Accepted Answer

The absolute value function $f(x) = -|x+9|-21$ is always non-positive because the absolute value $|x+9|$ is always non-negative, and when you negate it and subtract 21, the result is always less than or equal to -21. Therefore, the graph of this function never crosses the x-axis, meaning it has 0 x-intercepts.

Determine Whether the Absolute Value Function f(x)f(x)f(x) Has Zero, One, or Two

Determine Whether the Absolute Value Function $f(x)$ Has Zero, One, or Two