Question

Which function is increasing and decreasing over the same intervals as the function in the graph?

A V shape with vertex at negative 2 comma zero and passing through the points negative 4 comma 1 and zero comma 1.
A. f(x) = 3|x − 2|
B. f(x) = 3|x + 2|
C. f(x) = 3|x| − 2
D. f(x) = 3|x| + 2

Answer 1

B

The graph has a vertex at x = −2 and opens upward, so it decreases for x < −2 and increases for x > −2. Any positive multiple of |x + 2| has that same monotonicity; choice B, 3|x + 2|, fits.