Question

Which facts are true for the graph of the function below? Check all that apply.

F(x) = 3 * 4^x

A. The range of F(x) is y > 4.

B. It is decreasing.

C. It is increasing.

D. The y-intercept is (0, 4).

E. The y-intercept is (0, 3).

F. The domain of F(x) is all real numbers.

Answer 1

The choices that are TRUE are ...

C. It is increasing.

E. The y-intercept is (0, 3).

F. The domain of F(x) is all real numbers.

_____

Here is why the other choices are FALSE.

A. The range is y > 0, not y > 4.

B. The multiplier (3) is positive, as is the sign of the exponent. These mean the function will be increasing as x gets larger.

D. 3*4^0 = 3*1 = 3, so the y-intercept is not 4, it is 3.