Question

I NEED HELP!!!!!In the graph shown, suppose that f(x) = 3.5x and h(x) = 1.5x. Choose the statement that COULD be true.

A) g(x) = 5x
B) g(x) = 4x
C) g(x) = (.9)x
D) g(x) = πx

Answer 1

The given functions are

`f(x)=3.5^x`

`h(x)=1.5^x`

Now these are exponential curves and the bases for the functions are 3.5 & 1.5

Also the graph of g(x) is between f(x) & h(x)

Hence the value of base called the scale factor must be between 3.5 & 1.5.

4 & 5 are more than 3.5

0.9 is smaller than 1.5

But π = 3.14 lies between 3.5 & 1.5.

Hence the only option which can represent the graph of g(x) is

`g(x)=\pi ^x`

Option D) is the right answer