Question

Please Help! Functions and Relations The graph shows the absolute value parent function. which statement best describes the function?

Answer 1

The function is increasing when, if xa > xb, then f(xa) > f(b).

Let's choose values for x < 0 and for x > 0.

First, let's compare x = -2 and x = -1

-1 > -2

f(-1) < f(-2)

Then, the function is decreasing for x < 0.

Second, let's compare x = 1 and x = 2.

2 > 1

f(2) > f(1)

Then, the function is increasing for x > 0.

Answer: c. The function is increasing when x >0.