PCH 3.1-3.3 Quiz Review

What is the asymptote of

 $f\left(x\right)=4^{x-2}+3$  ?

• x = 2

• y = 2

• x = 3

• y = 3

Tags

CCSS.HSF-IF.C.7E

What is the asymptote of

 $f\left(x\right)=\log_2\left(x-3\right)+4$  ?

• x = 3

• y = 3

• x = 4

• y = 4

Tags

CCSS.HSF-IF.C.7E

Rewrite

 $\log_981=2$  in exponential form.

•  $9^2=81$  

•  $2^9=81$  

•  $2^{81}=9$  

•  $9^{81}=2$  

Tags

CCSS.HSF.BF.B.5

Express

 $12^{-1}=\frac{1}{12}$  in logarithmic form.

•  $\log_{12}\ \frac{1}{12}=-1$  

•  $\log_{12}\ \left(-1\right)=\frac{1}{12}$  

•  $\log_{-1}\ \frac{1}{12}=12$  

•  $\log_{-1}\ 12=\frac{1}{12}$  

Tags

CCSS.HSF.BF.B.5

Martha invests $2000 in an account with an interest rate of 3%. If the account compounds quarterly, which of the following expressions shows Martha's balance after 5 years?

•  $2000\left(1+\frac{.03}{4}\right)^5$  

•  $2000\left(1+\frac{.03}{4}\right)^{20}$  

•  $2000\left(1+\frac{.03}{20}\right)^5$  

•  $2000e^{0.03\cdot5}$  

The half life of a radioactive substance is 10 years. Which of the following expressions depicts the value of r?

• $r=\frac{\ln2}{10}$

• $r=\frac{\ln\left(\frac{1}{2}\right)}{10}$

• $r=\frac{\ln10}{2}$

• $r=\frac{\ln10}{\frac{1}{2}}$

Tags

CCSS.HSF.LE.A.4

Express

 $\log_38$  using the natural logarithm.

•  $\frac{\ln8}{\ln3}$  

•  $\frac{\ln3}{\ln8}$  

•  $\frac{\ln8}{\ln e}$  

•  $\frac{\ln e}{\ln3}$  

Expand the following

 $\log\frac{\sqrt{w}}{xy}$  

•  $\frac{1}{2}\log w-\log x+\log y$  

•  $\frac{1}{2}\log w-\log x-\log y$  

•  $\frac{1}{2}\log w-\frac{1}{2}\log x+\frac{1}{2}\log y$  

•  $\frac{1}{2}\log w-\frac{1}{2}\log x-\frac{1}{2}\log y$  

Condense

 $\ln3-\frac{1}{2}\ln x+\ln y$  

•  $\ln\ \frac{3}{\sqrt{xy}}$  

•  $\ln\ \frac{3y}{\sqrt{x}}$  

•  $\ln\ \frac{3}{y\sqrt{x}}$  

•  $\ln\ 3y\sqrt{x}$  

What is the domain of

 $f\left(x\right)=-\ \log_3\left(x+3\right)+6$  ?

•  $\left(3,\infty\right)$  

•  $\left(-3,\infty\right)$  

•  $\left(-\infty,3\right)$  

•  $\left(-\infty,-3\right)$