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

Determine the correct exponential function of the form f(x)=b^x whose graph is given-example-1

1 Answer

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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

User Akhil Ghatiki
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