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Licemer1 [7]
3 years ago
6

How do the graphs of the functions f(x) = (3/2)^x and g(x) = (2/3)^x compare?

Mathematics
2 answers:
Dafna11 [192]3 years ago
7 0

Answer:

Exponential function is of the form: y =ab^x

where a  is the initial value and b is the growth factor.

  • If b> 1, then the function is exponential growth function.
  • If 0<b<1, then the function is exponential decay function.

Given the parent function:

f(x)=y = (\frac{3}{2})^x            ....[1]

This function is an exponential growth function.

The rule of reflection over y-axis:

(x, y) \rightarrow (-x, y)

Apply the rule on f(x) we get;

(\frac{3}{2})^{-x} = (\frac{2}{3})^x =g(x)

Therefore, the function g(x) =(\frac{2}{3})^x is the graph of the function f(x) reflected over y-axis.

Pani-rosa [81]3 years ago
6 0
Sample Response: The graphs are reflections of each other over the y-axis. The graph of g(x) shoes exponential decay, while the graph of f(x) shows exponential growth.
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