Free Printable PCH 3.1-3.3 Quiz Review

1.

What is the asymptote of

f\left(x\right)=4^{x-2}+3

?

a)

x = 2

b)

y = 2

c)

x = 3

d)

y = 3

2.

What is the asymptote of

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

?

a)

x = 3

b)

y = 3

c)

x = 4

d)

y = 4

3.

Rewrite

\log_981=2

in exponential form.

a)

$9^2=81$

b)

$2^9=81$

c)

$2^{81}=9$

d)

$9^{81}=2$

4.

Express

12^{-1}=\frac{1}{12}

in logarithmic form.

a)

$\log_{12}\ \frac{1}{12}=-1$

b)

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

c)

$\log_{-1}\ \frac{1}{12}=12$

d)

$\log_{-1}\ 12=\frac{1}{12}$

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?

a)

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

b)

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

c)

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

d)

$2000e^{0.03\cdot5}$

6.

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

a)

$r=\frac{\ln2}{10}$

b)

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

c)

$r=\frac{\ln10}{2}$

d)

$r=\frac{\ln10}{\frac{1}{2}}$

7.

Express

\log_38

using the natural logarithm.

a)

$\frac{\ln8}{\ln3}$

b)

$\frac{\ln3}{\ln8}$

c)

$\frac{\ln8}{\ln e}$

d)

$\frac{\ln e}{\ln3}$

8.

Expand the following

\log\frac{\sqrt{w}}{xy}

a)

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

b)

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

c)

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

d)

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

9.

Condense

\ln3-\frac{1}{2}\ln x+\ln y

a)

$\ln\ \frac{3}{\sqrt{xy}}$

b)

$\ln\ \frac{3y}{\sqrt{x}}$

c)

$\ln\ \frac{3}{y\sqrt{x}}$

d)

$\ln\ 3y\sqrt{x}$

10.

What is the domain of

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

?

a)

$\left(3,\infty\right)$

b)

$\left(-3,\infty\right)$

c)

$\left(-\infty,3\right)$

d)

$\left(-\infty,-3\right)$

PCH 3.1-3.3 Quiz Review

Total questions: 10

Worksheet time: 50mins

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