91Ó°ÊÓ

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

For the following exercises, use this scenario: A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of \(1.15 \%\) per day. To the nearest day, how long will it take for half of the Iodine-125 to decay?

Describe the end behavior of the graphs of the functions. $$f(x)=3(4)^{-x}+2$$

For the following exercises, use the compound interest formula, \(A(t)=P\left(1+\frac{r}{n}\right)^{n t}\). An account is opened with an initial deposit of \(\$ 6,500\) and earns \(3.6 \%\) interest compounded semi-annually. What will the account be worth in 20 years?

For the following exercises, use the definition of a logarithm to solve the equation. $$ 5 \log _{7}(n)=10 $$

Refer to Table. $$\begin{array}{|c|c|c|c|c|c|c|} \hline \boldsymbol{x} & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline \boldsymbol{f}(\boldsymbol{x}) & 555 & 383 & 307 & 210 & 158 & 122 \\ \hline \end{array}$$ Use a graphing calculator to create a scatter diagram of the data.

Use this scenario: A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day. To the nearest day, how long will it take for half of the Iodine-125 to decay?

For the following exercises, use the definition of a logarithm to solve the equation. $$ -8 \log _{9}(x)=16 $$

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, solve for \(x\) by converting the logarithmic equation to exponential form. $$ \log _{18}(x)=2 $$