Free Printable 6.1-6.4 Quiz

1.

Gasoline costs $1.99 per gallon. If the price per gallon increases an average of 6% per years which function models the exponential growth of the pricing?

a)

$y=1.99\left(1+0.06\right)^t$

b)

$y=1.99\left(1-0.06\right)^t$

c)

$y=6\left(1-1.99\right)^t$

d)

$y=6\left(1+1.99\right)^t$

2.

Which function represents exponential growth?

a)

$y=7\left(\frac{2}{3}\right)^t$

b)

$y=7\left(0.8\right)^t$

c)

$y=7\left(\frac{3}{2}\right)^t$

d)

$y=0.7\left(0.8\right)^t$

3.

What is the horizontal asymptote of $y=\left(\frac{3}{10}\right)^{x-1}+4$

a)

$y=0$

b)

$y=4$

c)

$y=-4$

d)

$y=-1$

4.

You deposit $3000 in an account that pays 5% annual interest compounded continuously. What is the balance after 2 years?
(Hint: $A=Pe^{rt}$ )

a)

$3109.98

b)

$3027.36

c)

$2373.75

d)

$3315.51

5.

What type of function is shown in the graph?

a)

Exponential Growth

b)

Exponential Decay

6.

Select all transformations of the exponential decay function.
$f\left(x\right)=4\left(\frac{3}{4}\right)^{x+1}-5$

a)

Vertical Stretch by 4

b)

Left 1

c)

Right 1

d)

Up 5

e)

Down 5

7.

In the year Bob was born, the population of California was 29,816,591 people. Since then the population has increased by 1.28% each year. Which equation models the situation?

a)

$y=0.0128\left(1+29,816,591\right)^t$

b)

$y=0.0128\left(1-29,816,591\right)^t$

c)

$y=29,816,591\left(1+0.0128\right)^t$

d)

$y=29,816,591\left(1-0.0128\right)^t$

8.

You buy a new car for $22,500. The value of the car decreases by 25% each year. Which equation models the situation?

a)

$y=22,500\left(1-0.25\right)^t$

b)

$y=22,500\left(1+0.25\right)^t$

c)

$y=0.25\left(1-22,500\right)^t$

d)

$y=0.25\left(1+22,500\right)^{t\ }$

9.

You deposit $2200 in an account that pays 3% annual interest. After 15 year, you withdraw the money. What is the balance if the interest is compounded continuously? (Hint: $A=Pe^{rt\ }$ )

a)

$2817.98

b)

$3009.19

c)

$3450.29

d)

$7685.54

10.

The number e is approximately equal to _________________.

a)

3.142

b)

2.718

c)

5.023

d)

$\sqrt{-1}$

11.

Select all transformations of the exponential growth function.
$f\left(x\right)=\frac{1}{2}\left(4\right)^x+12$

a)

Vertical Stretch by $\frac{1}{2}$

b)

Vertical Shrink by $\frac{1}{2}$

c)

Right 12

d)

Up 12

e)

Down 12

12.

Which of the following is equivalent to $\log_578125=7$ ?

a)

$7^5=78125$

b)

$5^{78125}=7$

c)

$7^{78125}=5^{78125}$

d)

$5^7=78125$

13.

Which of the following is equivalent to $\log_82=\frac{1}{3}$ ?

a)

$8^{\frac{1}{3}}=2$

b)

$2^{\frac{1}{3}}=8$

c)

$\frac{1}{3}^8=2$

d)

$\frac{1}{3}\left(8\right)=2$

14.

Evaluate the logarithm.
$\log\ 9$

a)

0.9

b)

0.912

c)

0.954

d)

0.978

15.

Solve the logarithm.
$\log_525=x$

(a)

16.

$\log_3x=\log_315$

a)

$x=3$

b)

$x=5$

c)

$x=15$

d)

$x=45$

17.

Give the value of x.

$\log_71=x$

(a)

18.

$\log_66^4=x$

a)

$x=\frac{3}{2}$

b)

$x=4$

c)

$x=6$

d)

$x=12$

19.

Select all of the transformations of the logarithmic function.
$f\left(x\right)=2\log_3\left(x-1\right)+8$

a)

Vertical Stretch by 2

b)

Left 1

c)

Right 1

d)

Up 8

e)

Down 8

20.

Which of the following is the graph of $f\left(x\right)=\log_2x$ ?
(Hint: This is the parent function shown in your notes)

a)

b)

c)

d)

6.1-6.4 Quiz

Total questions: 20

Worksheet time: 5hrs 0mins

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