Quiz about CFM #6 Review

Question 1

In an exponential function, what does the a value represent?

Accepted Answer

Initial value

Answer

Rate of growth or decay

Answer

Slope

Answer

Exponent

Question 2

The value of a car is $15,000 and decreases at a rate of 8% per year. What is the decay factor?

Accepted Answer

0.92

Answer

0.08

Answer

1.08

Answer

8

Question 3

Which of the functions shows an initial amount of $15 and an increase of 35% each year?

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

Question 4

There is a culture of bacteria that begins with 5000 cells and dies by 30% each year. Write an exponential model to represent the situation.

Accepted Answer

y = 5000(0.70)^x

Answer

y = 30(5000)^x

Answer

y = 5000(1.30)^x

Answer

y = 5000x^x

Question 5

The population of mosquitoes at the beginning of the summer is 4000. The population grows at a rate of 25% a month. How many will there be after 4 months?

Accepted Answer

9765

Answer

9766

Answer

9006

Answer

5433

Question 6

What type of function is y = 7(5/4)^x?

Accepted Answer

Exponential GROWTH

Answer

Exponential DECAY

Answer

Linear

Answer

Not a function

Question 7

You put $1500 into an account that earns 4% interest. How much will be in the account after 6 years if the account is compounded monthly?

Accepted Answer

$1906.11

Answer

$1530.25

Answer

$1561.11

Answer

$1897.98

Question 8

The value of a car you purchased for $20,000 decreases at a rate of 12% each year. What will the value of the car be after 3 years?

Accepted Answer

$13,629.44

Answer

$12,800.00

Answer

$17,600.00

Answer

$28,098.56

Question 9

What is the transformation?

Accepted Answer

Horizontal Translation right 1

Answer

Vertical Translation up 1

Answer

Vertical Translation down 1

Answer

Horizontal Translation left 1

Question 10

What is the transformation?

Accepted Answer

Vertical Translation down 2 and Horizontal Translation left 1

Answer

Vertical Translation up 2 and Horizontal translation right 1

Answer

Horizontal Translation left 2 and Vertical Translation up 1

Answer

Horizontal Translation right 2 and Vertical Translation down 1

Question 11

What is the transformation?

Accepted Answer

Reflection across the x-axis

Answer

Horizontal Translation left 2

Answer

Vertical Translation down 2

Answer

Reflection across the y-axis

Question 12

Given the original exponential function defined by y=4^x, how would the graph change if the function were:

y=2(4)^x-3+1?

Accepted Answer

Vertically stretched by a factor of 2, right 3, and up 1

Answer

Vertically compressed by a factor of 1/2, left 3 and down 1

Answer

Vertically compressed by a factor of 1/2, right 3, and down 1

Answer

Vertically stretched by a factor of 2, left 3, and up 1

Question 13

What equation would yield a transformation right 3 units if your initial function was y=2^x

Accepted Answer

y=2x-3

Answer

y=2x-3

Answer

y=2x+3

Answer

y=2x+3

Question 14

What transformations have happened to f(x) = 2^x if the new equation is
g(x) = -2^(x+3) -6

Accepted Answer

reflects, left 3, down 6

Answer

It stayed the same

Answer

reflects, up 3, left 6

Answer

reflects, right 3, down 6

Question 15

What is the equation of the horizontal asymptote for following exponential function?

Accepted Answer

y = -4

Answer

y > -4

Answer

y < -4

Answer

(0, -3)

Question 16

What is the equation of the horizontal asymptote for following exponential function?

Accepted Answer

y = -2

Answer

y > -2

Answer

y < -2

Answer

(0, -2)

Question 17

What is the equation of the horizontal asymptote for following exponential function?

Accepted Answer

y = 1

Answer

y = 2

Answer

y > 1

Answer

(0, 2)

Question 18

Exponential functions have...

Accepted Answer

Only horizontal asymptote

Answer

Only vertical asymptote

Answer

Vertical & horizontal asymptotes

Answer

No asymptotes

Question 19

Rewrite the equation in exponential form.

Accepted Answer

15^-2=(1/225)

Answer

-2¹⁵=(1/225)

Answer

225-2=15

Answer

15²=(1/225)

Question 20

Rewrite the equation in exponential form.

Accepted Answer

24=16

Answer

42=16

Answer

164=2

Answer

416=2

Question 21

Rewrite the equation in exponential form.

Accepted Answer

15r=26

Answer

26r=15

Answer

2615=r

Answer

1526=r

Question 22

Rewrite the equation in exponential form.

Accepted Answer

150=1

Answer

015=1

Answer

115=0

Answer

01=15

Question 23

Rewrite the equation in logarithmic form.

Accepted Answer

log₁₇289=2

Answer

log₂289=17

Answer

log₁₇2=289

Answer

log₂2=289

Question 24

Rewrite the equation in logarithmic form.

Accepted Answer

logb50=a

Answer

loga50=b

Answer

log₅₀b=a

Answer

logab=50

Question 25

Rewrite the equation in logarithmic form.

Accepted Answer

logy156=x

Answer

logx156=y

Answer

log₁₅₆y=x

Answer

logyx=156

Question 26

Rewrite the following equation in exponential form:
$$\log_636=2$$

Accepted Answer

$$6^2=36$$

Answer

$$36^2=6$$

Answer

$$2^6=36$$

Answer

$$2^{36}=6$$

Question 27

Rewrite the equation in logarithmic form:
$$64^{\frac{1}{2}}=8$$

Accepted Answer

$$\log_{64}8=\frac{1}{2}$$

Answer

$$\log_864=\frac{1}{2}$$

Answer

$$\log_{64}\ \frac{1}{2}=8$$

Answer

$$\log_8\ \frac{1}{2}=64$$

Question 28

Rewrite the equation in logarithmic form:
$$12^2=144$$

Accepted Answer

$$\log_{12}144=2$$

Answer

$$\log_{12}2=144$$

Answer

$$\log_2144=12$$

Answer

$$\log_{144}12=2$$

Question 29

Rewrite in exponential form:

log₉x=2

Accepted Answer

92=x

Answer

9x=2

Answer

2x=9

Answer

29=x

Question 30

Write 6^x = 8 in log form.

Accepted Answer

log₆ 8 = x

Answer

log₈ 6 = x

Answer

log₆ x = 8

Answer

log₈ x = 6

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