6.2E: Graphs of Exponential Functions (Exercises)

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    9. Graph the function \(f(x)=3.5(2)^{x}\). State the domain and range and give the \(y\) -intercept.

    10. Graph the function \(f(x)=4\left(\frac{1}{8}\right)^{x}\) and its reflection about the \(y\) -axis on the same axes, and give the \(y\) -intercept.

    11. The graph of \(f(x)=6.5^{x}\) is reflected about the \(y\) -axis and stretched vertically by a factor of \(7 .\) What is the equation of the new function, \(g(x) ?\) State its \(y\) -intercept, domain, and range.

    12. The graph below shows transformations of the graph of \(f(x)=2^{x} .\) What is the equation for the transformation?

    Graph of f(x)=2^x
    Figure 1

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