Free Printable Pre Calculus Unit 4 Quiz Review

1.

Evaluate

\log_{27}3

a)

$3$

b)

$-3$

c)

$\frac{1}{3}$

d)

$9$

2.

Evaluate $36^{\frac{3}{2}}$

a)

$6$

b)

$216$

c)

$54$

d)

$46656$

3.

True or False: The point (4, 6) is on the graph of the equation

y=\log_2\left(x-2\right)+5

a)

True

b)

False

4.

Which is the y intercept of the equation

y\ =\ \log_4\left(x+2\right)

a)

undefined

b)

$\left(0,\ 2\right)$

c)

$\left(0,\ -2\right)$

d)

$\left(0,\ \frac{1}{2}\right)$

5.

Evaluate the following logarithm by converting to exponential form.
log₃⅓ = x

a)

x = -1

b)

x = 1

c)

x = 3

d)

x = ⅓

6.

Solve the following equation:

\log_2x+\log_2\left(x+6\right)=4

a)

x = -8

b)

x = 2

c)

x = 8

d)

no solution

7.

Evaluate: log₉3

a)

½

b)

-½

c)

2

d)

-2

8.

State the range of the function below:

h\left(x\right)=-5^x-1

a)

All real numbers $\left(-\infty,\ \infty\right)$

b)

$y>1$

c)

$y>-1$

d)

$y<-1$

9.

True or False: The point (5, 2) is on the graph of the equation

y=2\log_3\left(x+4\right)

a)

True

b)

False

10.

Solve the following equation:

5\ =\log\left(x+4\right)+\log\left(2\right)+3

a)

no solutions

b)

x = 48

c)

x = 6

d)

x = 46

11.

Which of the following has an asymptote at y = 2 and a y-intercept at (0, 3)

a)

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

b)

$f\left(x\right)=\left(3\right)^x+2$

c)

$f\left(x\right)=2\left(3\right)^x+2$

d)

$f\left(x\right)=\left(3\right)^{x+2}-6$

12.

Which of the following is the asymptote of the equation

y=5\log\left(x+4\right)-2

a)

x = 4

b)

y = - 2

c)

x = - 4

d)

y = - 4

13.

Which of the following statements are true about the function below? Select all that apply.

f\left(x\right)=0.5\left(2\right)^x-1

a)

The y-intercept is $\left(0,\ 0.5\right)$

b)

The range is all real numbers $\left(-\infty,\ \infty\right)$

c)

The horizontal asymptote is $y=-1$

d)

The domain is all real numbers $\left(-\infty,\ \infty\right)$

e)

The vertical asymptote is $x\ =\ -1$

14.

Given the function

g\left(x\right)=4\left(\frac{1}{2}\right)^{x-1}

, what is the asymptote?

a)

$y=1$

b)

$x=1$

c)

$y=0$

d)

$x=0$

15.

Logarithm graphs will always have a (a) asymptote.

16.

The domain of a (a) graph is always all real numbers.

Pre Calculus Unit 4 Quiz Review

Total questions: 16

Worksheet time: 19mins

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