Question

Which of the following describes the end behavior of the cube root function graphed above.
A) as x decreases in value, f(x) increases in value. As x increases in value,f(x) increases in value.
B) as x decreases in value, f(x) decreases in value. As x increases in value,f(x) decreases in value.
C) as x decreases in value, f(x) increases in value. As x increases in value,f(x) decreases in value.
D) as x decreases in value, f(x) decreases in value. As x increases in value,f(x) increases in value.

Answer 1

The first thing you should do for this case is to see the behavior of the graph in the following intervals:
 x <2:
 f (x) grows
 x> 2:
 f (x) decreases
 answer:
 C) as x decreases in value, f (x) increases in value. As x increases in value, f (x) decreases in value.

Answer 2

According with the graph:
As x decreases in value, f(x) increases in value.
As x increases in value, f(x) decreases in value.

Answer: Option C) as x decreases in value, f(x) increases in value. As x increases in value,f(x) decreases in value.