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