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10. Select all that are true for the graph that represents
the function f(x) = 5(3)^x
A. The graph is increasing by a common ratio of 3.
B. The graph is decreasing by a common ratio of 3.
C. As x increases, y increases.
D. As x increases, y decreases.
E. As x decreases, y approaches 1.
F. As x decreases, y approaches 0

Respuesta :

Answer:

A, C and F

Step-by-step explanation:

The given function is

[tex]f(x)=5(3)^x[/tex]

It is an exponential function of the form

[tex]f(x)=a(b)^x[/tex]

On comparing both the functions, we get

[tex]a=5,b=3[/tex]

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.

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