Free Printable Chapter 6 Review

1.

Is this exponential growth or decay?

a)

Growth

b)

Decay

2.

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

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None of the above

3.

Is this exponential growth or decay?

a)

Growth

b)

Decay

4.

Pick the equation that is exponential decay

a)

y=2000(0.88)

b)

y=0.5(1.88)

5.

A 78 gram sample of Uranium loses half of its mass each year. What is the exponential equation?

a)

y=78(0.5)^x

b)

y=78(1.5)^x

c)

y=78(2)^x

6.

Is this exponential growth or decay?

a)

Growth

b)

Decay

c)

Linear

7.

Does the table show exponential growth or decay?

a)

growth

b)

decay

8.

The function to find the value of a car after t years is given by v(t) = 24,000(.75)^t Which of the following statements is true?

a)

The starting value of the car was $24,000.

b)

The y-values of the graph increase as the x-values increase.

c)

The value of b indicates this is an exponential growth situation.

9.

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

a)

300

b)

1.16

c)

.16

d)

x

10.

Write the equation that represents the table below:

a)

y=1/2(4)^x

b)

y=2(4)^x

c)

y=4(2)^x

d)

y=4(1/2)^x

11.

What is the pattern you see in this table?

a)

Common Ratio = 1/3

b)

Common Difference = 8

c)

Common Ratio = 3

d)

Common difference = 3

12.

What type of exponential is represented by the table?

a)

Exponential Growth

b)

Exponential Decay

13.

Does the table show exponential growth or decay?

a)

Growth

b)

Decay

14.

Is the table linear or exponential?

a)

Linear

b)

Exponential

15.

Is the table linear or exponential?

a)

Linear

b)

Exponential

16.

What is the y-intercept of the function

$f\left(x\right)=9\cdot\left(3\right)^x$

a)

(0,9)

b)

(0,3)

c)

(9,0)

d)

(3,0)

17.

Which 2 statements are correct about the graph of the function

$f\left(x\right)=4\cdot\left(2\right)^x$

a)

The domain is all real numbers

b)

The y-intercept is at (0,2)

c)

The graph is increasing

d)

The domain is $x>0$

e)

The graph does not have a y-intercept.

18.

Which 2 statements are correct about the graph of the function

$f\left(x\right)=4\cdot\left(\frac{1}{2}\right)^x$

a)

The domain is all real numbers

b)

The y-intercept is at (0,4)

c)

The graph is increasing

d)

The domain is $x>0$

e)

The graph does not have a y-intercept.

19.

The exponential function graphed has a horizontal asymptote at y=?

(a)

20.

The exponential function graphed has a horizontal asymptote at y=?

(a)

21.

What is the range of the exponential function graphed?

a)

$y<2$

b)

$y>2$

c)

$x\le2$

d)

All real numbers

22.

What is the domain of the exponential function graphed?

a)

$y<2$

b)

$y>2$

c)

$x\le2$

d)

All real numbers

23.

The red line is the horizontal asymptote. What is the equation of that line?

a)

$y=0$

b)

$y=2$

c)

$x=2$

d)

$x=0$

24.

What is the y-intercept of the function $f\left(x\right)=3\cdot4^x$ ?

(0,?)

(a)

25.

Describe the function $f\left(x\right)=6\cdot\frac{5}{2}^x$

a)

Increasing

b)

Decreasing

c)

Constant

d)

Neither

26.

Describe the function $f\left(x\right)=5\cdot\frac{1}{2}^x$

a)

Increasing

b)

Decreasing

c)

Constant

d)

Neither

27.

What is the equation of the horizontal asymptote?

a)

y = 0

b)

x = 2

c)

y = 1

d)

x = 0

28.

Which of the following is an increasing exponential function whose y-intercept is 50?

a)

y = 50(.05)^x

b)

y = 50x - 4

c)

y = (2)^x + 50

d)

y = 50(1.4)^x

29.

Which is the best graph for $f\left(x\right)=2\left(3^x\right)$ ?

a)

b)

c)

d)

30.

Which graph best represents $y=\frac{1}{2}\cdot4^x$

a)

b)

c)

d)

31.

Karla invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Karla earn in 15 years?

a)

$1,584.62

b)

$2,651.39

c)

$2,706.86

d)

$1,825.10

32.

Monthly means how many times a year?

a)

4

b)

12

c)

52

d)

365

33.

Which equation do you use when asked to compound daily?

a)

A=Pe^rt

b)

A=(1+(r/n))^nt

34.

Principal: $999
Interest Rate: 5.45%
Time: 19 years
Compounded Quarterly
Select the correct equation for this scenario.

a)

$999\left(1+\frac{.0545}{4}\right)^{4\cdot19}$

b)

$999\left(1+\frac{.0545}{4}\right)^{19}$

c)

$999\left(1+\frac{5.45}{4}\right)^{4\cdot19}$

d)

$999e^{.0545\cdot19}$

35.

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

a)

$1,225,54

b)

$2,225.54

c)

$22,255.40

d)

$225.54

36.

Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.

a)

$12712.31

b)

$12,749.30

c)

$12,657.59

d)

$12550.84

37.

Jay'den earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded daily. Which equation represents how much he will have after t years?

a)

$475\left(1+\frac{.038}{365}\right)^{365t}$

b)

$475\left(1+\frac{3.8}{365}\right)^{365t}$

c)

$475\left(1.038\right)^{365t}$

d)

$475\left(1+\frac{.038}{365}\right)^t$

38.

e is...

a)

a variable.

b)

a number.

c)

an equation.

d)

nothing to worry about.

39.

What is the value of n if the question asks you to compound daily?

a)

12

b)

1

c)

365

d)

4

40.

The Arnold's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have paid after 30 years?

a)

$412,749.79

b)

$529.305.61

c)

$689,546.99

d)

$640,891.53

41.

You invest $1,200 that is compounded continuously at 9% for 10 years. What is the equation you use?

a)

A = 1200(1.09)¹⁰

b)

A = 1200e^..9

c)

A = 1200e¹⁰

d)

A = 1200 (.91)¹⁰

42.

Change 6.75% to a decimal.

a)

67.5

b)

.675

c)

675

d)

.0675

43.

Semi-Annually means how many times a year?

a)

4

b)

2

c)

1

d)

6

44.

Which equation do you use when asked to determine the amount after being compounded continuously?

a)

A=Pe^rt

b)

A=(1+(r/n))^nt

45.

The rate for compounded interest needs to be in...

a)

a decimal.

b)

percent form.

c)

a variable form.

d)

what is rate?

46.

A car was purchased for $20,000 and its value depreciates by 15% each year. What will be its value after 3 years?

a)

$13,778

b)

$15,305

c)

$12,283

d)

$14,450

47.

A house was valued at $300,000 last year. This year, its value decreased by 8%. What is the current value of the house?

a)

$270,000

b)

$290,000

c)

$282,000

d)

$276,000

48.

The population of a city, in millions, is modeled by $p\left(t\right)=2.05\left(1.089\right)^t$ and t represents years since 2020. What is the annual percent change in population?

a)

.089% increase

b)

1.089% increase

c)

8.9% increase

d)

.89% increase

49.

The population of deer in one region is modeled by $d\left(t\right)=3400\left(.92\right)^t$ , where t is measured in years since 2000. What is the annual percent change in deer population?

a)

92% increase

b)

92% decrease

c)

8% decrease

d)

.92% increase

50.

The amount of bacteria in a petri dish can be modeled by $b\left(h\right)=500\left(\frac{1}{2}\right)^h$ , where h represents hours. What is the percent change each hour in the amount of bacteria in the petri dish.

a)

50% decrease

b)

50% increase

c)

1.5% decrease

d)

500% increase

51.

What is the x-intercept of the logarithmic function

$f\left(x\right)=\log_2\left(x\right)$

a)

(1,0)

b)

(0,1)

c)

(2,0)

d)

(0,2)

52.

Which of the following is the equation of a logarithmic function with a vertical asymptote at x = 3?

a)

y = log(x/3)

b)

y = log(3x)

c)

y = log(x + 3)

d)

y = log(x - 3)

53.

What is the base of the logarithm in the function $f\left(x\right)=\log_5\left(x\right)$ ?

a)

2

b)

5

c)

10

d)

e

Chapter 6 Review

Total questions: 53

Worksheet time: 8hrs 22mins

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