Question

Describe the end behavior of the given function.



A.
As x decreases, f(x) approaches negative infinity.
B.
As x increases, f(x) approaches infinity.
C.
As x increases, f(x) approaches -2.
D.
As x decreases, f(x) approaches 2.

Answer 1

Think about what happens to this part of the function when x goes to infinity

(2/3)^x

As you keep multiplying (2/3) by itself infinite times, the number keeps shrinking down to 0, right?

So with that in mind, what happens to the value of (2/3)^x - 2 as x keeps increasing?

Answer 2

If (2/3)^x approaches 0 as x increases to infinity

Then (2/3)^x - 2 approaches 2 less than 0, or -2