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:

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

Then, the correct function is:

$f(x)=(\frac{3}{4})^x$

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