Free Printable Ch 1 Functions, Domain & Range, Ch 4 Exponential Functions

Worksheets

Ch 1 Functions, Domain & Range, Ch 4 Exponential Functions

Total questions: 25

Worksheet time: 1hrs 29mins

Name

Class

Date

$y=\sqrt{x-\frac{3}{2}}+2$ belongs to what family of functions?

square root

absolute value

linear

quadratic

Which transformations are involved in the equation $y=\frac{1}{2}\sqrt{x+1}-1$ ?

Horizontal translation left

Vertical shrink

Vertical translation down

Horizontal translation right

Vertical stretch

What family does the pictured graph belong to?

Square root

Linear

Quadratic

Absolute value

The vertex of the quadratic function f(x) in the picture (2, -2). If g(x) = f(x) - 4, what is the vertex of g(x)?

(2, -6)

(2, 2)

(-2, -2)

(6, -2)

Which transformation on

f(x) = x

is g(x) = -f(x)

Reflection across the y-axis

The slope will be less steep

The graph will be wider

Reflection across the x-axis.

Which graph does NOT pass the vertical line test?

Graph 1

Graph 2

Graph 3

Graph 4

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

D: {1, -3, -4,}
R: {0, 1, 2, -4}

D:{-4, 0, 1, 2}
R:{-4, -3, 1}

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

What is the domain of the graph shown?

{-2, -1, 0, 1, 2, 3, 4}

{2, 3, 4}

2 ≤ y ≤ 4

-2 ≤ x ≤ 4

Which set of ordered pairs is not a function?

(1, 3), (2, 7), (3, 8), (4, 11)

(2, 3), (4, 9), (3, 8), (4, 15)

(1, 2), (3, 5), (6, 9), (7, 11)

(-9, 4), (-6, 3), (-2, 8), (0, 21)

10.

For the function: f(x) = 7(x - 11), f (16) = _____

11.

Which mapping diagram is not a function?

12.

For which function would f(3) = 17

f(x) = 5x

f(x) = 2(x + 4) + 3

f(x) = x - 10

f(x) = 3x + 6

13.

Which graph is not a function?

14.

Does the graph represent an exponential growth or an exponential decay function?

Exponential Growth

Exponential Decay

15.

What does the y-intercept of the graph represent?

The amount of grams the material is gaining.

The amount of grams the material is losing.

The amount of grams remaining after so many years.

The initial amount of grams.

16.

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

y = 50(.05)^x

y = 50x - 4

y = (2)^x + 50

y = 50(1.4)^x

17.

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

87%

13%

800%

8.7%

18.

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. Suppose f(20) = 49. Which of the following is true?

After 20 days, there are 49 ants in the colony.

After 49 days there are 20 ants in the colony.

The amount of ants times 20 is 49.

After 20 days the amount of ants remaining decreases by 49.

19.

A collectible car has been going up in price by 10% each year. If the car is already worth $29,000, how much will the car be worth in 5 years?

$0.29

$2,900,000,000

$46,704.79

$145,000

20.

The amount of ibuprofen (medicine for headaches) breaks down by 30% each hour. If a person took a 200 milligram ibuprofen, how much will be left after 3 hours?

5.4 mg

68.6 mg

.0054 mg

2,400,000 mg

21.

Which represents exponential decay?

22.

What is the transformation?

Vertical Translation up 2 and Horizontal translation right 1

Vertical Translation down 2 and Horizontal Translation left 1

Horizontal Translation left 2 and Vertical Translation up 1

Horizontal Translation right 2 and Vertical Translation down 1

23.

What is the asymptote value in the function?

y=3

y=2

y=7

y=0

24.

Which of the following are considered exponential growths? You may choose more than one answer!

25.

Which of the following are considered to be exponential functions? You may choose more than one answer!

a(x) = 2x + 5

b(x) = 3x² + 5x + 8

c(x) = 4(2)^x-3 + 5

d(x) = 50 - 3x

e(x) = 500(0.5)^x

100 %

Ch 1 Functions, Domain & Range, Ch 4 Exponential Functions

Total questions: 25

Worksheet time: 1hrs 29mins

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