Question

10. Select all that are true for the graph that represents

Answer 1

Answer:

A, C and F

Step-by-step explanation:

The given function is

$f(x)=5(3)^x$

It is an exponential function of the form

$f(x)=a(b)^x$

On comparing both the functions, we get

$a=5,b=3$

It means the initial value is 5 and growth factor is 3.

Since both values are positive it means the given functions is an exponential growth function, therefore,

1. The graph is increasing by a common ratio of 3.

2. As x increases, y increases.

3. As x decreases, y approaches 0.

Hence, the correct options are A, C and F.