Question

Determine the correct exponential function of the form f(x)=b^x whose graph is given.

Answer 1

We have a function:

`f(x)=b^x`

We know one point of the function, that is (2, 9/16).

Then, we can replace f(x) with 9/16 and x with 2 and calculate b:

`\begin{gathered} f(x)=b^x \\ f(2)=(9)/(16) \\ b^2=(9)/(16) \\ b=\sqrt[]{(9)/(16)} \\ b=(3)/(4) \end{gathered}`

Then, the correct function is:

`f(x)=((3)/(4))^x`

Answer: f(x) = (3/4)^x