91Ó°ÊÓ

For the following exercises, describe the end behavior of the graphs of the functions. $$f(x)=3\left(\frac{1}{2}\right)^{x}-2$$

For the following exercises, describe the end behavior of the graphs of the functions. $$f(x)=3(4)^{-x}+2$$

For the following exercises, start with the graph of \(f(x)=4^{x}\) . Then write a function that results from the given transformation. Shift \(f(x)\) 4 units upward

For the following exercises, start with the graph of \(f(x)=4^{x}\) . Then write a function that results from the given transformation. Shift \(f(x) 3\) units downward

For the following exercises, start with the graph of \(f(x)=4^{x}\) . Then write a function that results from the given transformation. Shift \(f(x) 2\) units left

For the following exercises, start with the graph of \(f(x)=4^{x}\) . Then write a function that results from the given transformation. Shift \(f(x) 5\) units right

For the following exercises, start with the graph of \(f(x)=4^{x}\) . Then write a function that results from the given transformation. Reflect \(f(x)\) about the \(x\) -axis

For the following exercises, start with the graph of \(f(x)=4^{x}\) . Then write a function that results from the given transformation. Reflect \(f(x)\) about the \(y\) -axis

For the following exercises, evaluate the exponential functions for the indicated value of \(x .\) $$g(x)=\frac{1}{3}(7)^{x-2} \text { for } g(6)$$

For the following exercises, evaluate the exponential functions for the indicated value of \(x .\) $$f(x)=4(2)^{x-1}-2 \text { for } f(5)$$