Free Printable Alg U123-24 Functions and Arithmetic Sequences

1.

Which graph best represents the equation y = -3x + 4?

Hint: Identify the slope and y-intercept!

a)

b)

c)

d)

2.

What is the equation for this graph?

a)

$y=x$

b)

$y=\frac{1}{x}$

c)

$y=x+2$

d)

$y\ =\ 2x$

e)

$y=-x$

3.

Is this a function?

a)

YES

b)

NO

4.

Is this a function?

a)

Function

b)

Not a Function

5.

Is this a function or not a function?

a)

Function

b)

Not a Function

6.

Is the graph continuous or discrete?

a)

discrete

b)

continuous

7.

Is the graph continuous or discrete?

a)

Discrete

b)

Continuous

8.

What is the RANGE of this graph?

a)

-7 < x < 5

b)

-7 ≤ y < 5

c)

-3 < x < 1

d)

-3 ≤ y < 1

9.

What is the DOMAIN of this graph?

a)

-4 ≤ x ≤ 3

b)

-1 ≤ x ≤ 4

c)

4 < x < 3

d)

-1 < x < 4

10.

What is the DOMAIN of this graph?

a)

x < -3

b)

x ≤ -3

c)

x > -3

d)

x ≥ -3

11.

What is the RANGE of this graph?

a)

y ≥ 6

b)

$y\le6$

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

12.

Is the graph continuous or discrete?

a)

Discrete

b)

Continuous

13.

Is the graph continuous or discrete?

a)

Discrete

b)

Continuous

14.

Is the following function increasing, decreasing, constant, or a combination?

a)

Increasing

b)

Decreasing

c)

Constant

d)

Combination

15.

Is the following function increasing, decreasing, constant, or a combination?

a)

Increasing

b)

Decreasing

c)

Constant

d)

Combination

16.

Is the graph continuous or discrete?

a)

Discrete

b)

Continuous

17.

Which section is neither increasing nor decreasing but is constant?

a)

D

b)

A

c)

F

d)

B

18.

Find the rate of change

a)

$\frac{1}{2}$

b)

2

c)

-2

d)

$-\frac{1}{2}$

19.

Evaluate f(-2) if f(x) = x+3

a)

-1

b)

1

c)

5

d)

-5

20.

What is f(1)?

a)

1

b)

5

c)

0

d)

4

21.

If f(x) = x - 5, what is the value of x when f(x) = 15?

a)

20

b)

10

c)

5

d)

0

22.

Derek works at Subway making $9.25 an hour. The function d(x)=9.25x tells us how much money Derek makes after x hours of working. What is the meaning of d(4)=37?

a)

After 4 hours of work, Derek makes $37.

b)

Derek needs $4 more to have $37 total.

c)

After working for 4 days, Derek makes $37 total.

d)

After 4 hours of work, Derek now makes $37 an hour instead of $9.25.

23.

What is the common difference of the given arithmetic sequence:

–2, 5, 12, 19, 26, . . . ?

a)

–2

b)

3

c)

5

d)

7

24.

Which of the following sequences is an arithmetic sequence?

a)

5, 12, 21, 32, 45, . . .

b)

3, 6, 12, 24, 48, . . .

c)

–8, –5, –2, 1, 4, . . .

d)

12, 7, 11, 6, 10, 5, . . .

25.

Which of the following sequences is NOT an arithmetic sequence?

a)

25, 13, 1, –11, –23, . . .

b)

9, 15, 21, 27, 33, . . .

c)

–12, –4, 4, 12, 20, 28, . . .

d)

–4, 5, 18, 35, 56, 81, . . .

26.

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

a)

18

b)

17

c)

15

d)

14

27.

Given $a_1=-5$ and $a_n=a_{n-1}+3$ , what are the first 4 terms in the sequence?

a)

-5, -2, 1, 4

b)

-5, -8, -11, -14

c)

3, -2, -7, -12

d)

3, -15, 75, -375

28.

Which of the following sequence is NOT an arithmetic?

a)

25, 13, 1, –11, –23, . . .

b)

9, 15, 21, 27, 33, . . .

c)

–12, –4, 4, 12, 20, 28, . . .

d)

–4, 5, 18, 35, 56, 81, . . .

29.

What is the common difference of the given arithmetic sequence:

–26, –17, –8, 1, 10, 19, . . .?

a)

–9

b)

–10

c)

9

d)

10

30.

Type AS if the given sequence is an arithmetic and NAS if it not an arithmetic sequence:

8, –7, –22, –37, –52, –67

(a)

31.

What is the common difference of the given arithmetic sequence: –20, –9, 2, 13, 24, 35, . . .?

(a)

32.

What is the common difference of the given arithmetic sequence: 9, –4, –17, –30, –43, –56, . . .?

(a)

33.

Type AS if the given sequence is an arithmetic and NAS if it not an arithmetic sequence:

–13, –7, –2, 2, 5, 7, . . .

(a)

34.

Identify where the function is decreasing.

a)

x < -4 , x > 1

b)

-4 < x < 1

c)

-6 < x < 7.5

d)

All Real Numbers

35.

Identify where the function is decreasing.

a)

x < 0

b)

x > 0

c)

x < -3 , x > 3

d)

-3 < x < 3

36.

Over what interval is this function constant?

a)

−5 < x < ∞

b)

−3 < x < 4

c)

4 < x < ∞

d)

−5

37.

When is this function increasing?

a)

−2.5 < x < 2.5

b)

0 < x < 5

c)

0 < x < 55

d)

−5 < x < 0

38.

List the types of intervals that the graph demonstrates in order.

a)

decreasing, constant, increasing, constant

b)

increasing, decreasing, constant

c)

increasing, constant, increasing, constant

d)

increasing, constant, decreasing, constant

39.

Given a function, f(x), if f'(x)<0 over a certain interval, then f(x) is ____________ over that interval.

a)

decreasing

b)

increasing

c)

concave up

d)

concave down

40.

Where is the function increasing?

a)

(-∞,5]

b)

(-∞,0]

c)

(-∞,2]

d)

[0,2]

41.

Is the following an increasing, decreasing or constant function?

a)

increasing

b)

decreasing

c)

constant

42.

What do we know about the slope for increasing functions?

a)

The slope is positive

b)

The slope is negative

c)

There is zero slope

43.

What is the decreasing interval(s) on the function shown?

a)

$\left(-7,\ -6\right)\ and\ \left(-2,\ 4\right)$

b)

$\left(-7,\ 0\right)\ and\ \left(-2,\ 4\right)$

c)

$\left(-7,\ -6\right)\ and\ \left(-2,\ 0\right)$

d)

$\left(-7,\ 0\right)\ and\ \left(4,\ 5\right)$

44.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

45.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

46.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

47.

Slope is known as rise / ?what?

a)

run

b)

fall

c)

none

d)

rise

48.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

49.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

50.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

51.

Find the slope of the line that passes through:
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

52.

What is the slope represented in the table?

a)

slope: $\frac{1}{2}$

b)

slope: $2$

c)

slope: $-\frac{1}{2}$

d)

slope: $-2$

53.

What is the Slope represented in this table?

a)

slope: $-\frac{1}{4}$

b)

slope: $-4$

c)

slope: $\frac{1}{4}$

d)

slope: $4$

54.

What is the slope?

a)

Positive

b)

Negative
Negative

c)

Zero

d)

Undefined

55.

What is the slope?

a)

Positive

b)

Negative

c)

Zero

d)

No Slope

56.

What is the slope?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

57.

What is the slope?

a)

Positive

b)

Negative

c)

Zero

d)

No Slope

58.

Is this a function? Explain.

a)

Yes; it passes the horizontal line test.

b)

No; it is not a straight line.

c)

Yes; it passes the vertical line test.

d)

No; it does not pass the vertical line test

59.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

60.

Is y a function of x?

a)

function

b)

not a function

61.

Is y a function of x?

a)

function

b)

not a function

62.

Is y a function of x?

a)

function

b)

not a function

63.

Which graph represents a function?

a)

b)

c)

d)

64.

Which image is NOT the graph of a function?

a)

b)

c)

d)

65.

Answer this question!

a)

67 + 66

b)

100 + 33

c)

142 + (-9)

d)

157 + (-33)

66.

Answer this question!

a)

36 + 9

b)

30 + 15

c)

40 + 5

d)

20 + 25

67.

Answer this question!

a)

7 x 7

b)

17 x 3

c)

3 x 17

d)

9 x 6

68.

Answer this question!

a)

198 + 10

b)

198 + 20

c)

104 + 104

d)

108 + 100

69.

Answer this question!

a)

5 x 32

b)

18 x 9

c)

54 x 3

d)

32 x 5

70.

In which of the following graphs below are both runners moving at the same speed?

a)

b)

c)

d)

71.

Match the description to the graph:

"The car is stopped."

a)

b)

c)

d)

72.

Match the description to the graph:

"The car is coming back."

a)

b)

c)

d)

73.

Match the description to the graph:

"The car is traveling at a constant speed."

a)

b)

c)

d)

74.

What is happening at A?

a)

Stationary

b)

Accelerating

c)

Slower steady speed; moving away from the starting position

d)

Steady speed; returning to start position

75.

What is happening at B?

a)

Stationary

b)

Accelerating

c)

Slower steady speed; moving away from the starting position

d)

Steady speed; returning to start position

76.

What is happening at C?

a)

Stationary

b)

Accelerating

c)

Fast steady speed; moving away from the starting position

d)

Slower steady speed; moving away from the starting position

77.

Which runner had a head start?

a)

A

b)

B

c)

C

78.

Which runner won the race?

a)

A

b)

B

c)

C

79.

At what time did runner A pass runner B?

a)

0 seconds

b)

1 second

c)

2 seconds

d)

3 seconds

80.

Deb walked to the ice cream shop. Sat and ate her ice cream and then went for a run.

Which graph matches this motion?

a)

b)

c)

d)

81.

What is the speed of the object at 3 hours?

a)

0 mi/hr

b)

24 mi/hr

c)

2.5 mi/hr

d)

6 mi/hr

82.

What is the displacement of (that is, the distance traveled by) the object at 45 seconds?

a)

7 m

b)

13 m

c)

.16 m

d)

6.4 m

83.

Deb walked to the ice cream shop. Sat and ate her ice cream and then went for a run.

Which graph matches this motion?

a)

b)

c)

d)

84.

Which runner won the race?

a)

Albert

b)

Bob

c)

Charlie

85.

Which runner stopped for a rest?

a)

Albert

b)

Bob

c)

Charlie

86.

How long did it take this object to travel 10 m?

a)

0 s

b)

10 s

c)

15 s

d)

20 s

87.

How long did it take this object to travel back to its reference/starting point?

a)

20 s

b)

30 s

c)

60 s

d)

100 s

88.

The graph shows Ashley riding her bike to Maria's house.
What was occurring from point B to point C?

a)

She was increasing her speed.

b)

She stopped for 4 minutes

c)

She was decreasing in speed

89.

According to the graph how far does the person travel in the first 5 seconds?

a)

2 m

b)

10 m

c)

0 m

d)

5 m

90.

Which of these graphs do not show the object staying still?

a)

b)

c)

d)

91.

What is this graph showing?

a)

Constant Speed

b)

Acceleration (speeding up)

c)

Deceleration (slowing down)

d)

No motion

92.

The word "stationary" means...

a)

moving towards

b)

moving away

c)

moving

d)

not moving

93.

Edward drove 80 miles from his home to London.

He stopped and visited his friend Nicola on the way. Here is the distance-time graph for the journey.

How far was Edward from home when he visited Nicola?

a)

30 miles

b)

40 miles

c)

10 miles

d)

45 miles

94.

Edward drove 80 miles from his home to London.

He stopped and visited his friend Nicola on the way.

Here is the distance-time graph for the journey.

How long did Edward stop?

a)

2 hours

b)

1 hour

c)

1.2 hours

d)

1.5 hours

95.

Anne cycles from Bristol to Salisbury.

The diagram shows the distance-time graph of her journey.

What is Anne's speed for the first two hours of her journey?

a)

40 mph

b)

30 mph

c)

20 mph

d)

10 mph

96.

Anne cycles from Bristol to Salisbury.

The diagram shows the distance-time graph of her journey.

How far from Bristol is Anne at 8:00?

a)

15 miles

b)

20 miles

c)

10 miles

d)

40 miles

Alg U123-24 Functions and Arithmetic Sequences

Total questions: 96

Worksheet time: 24hrs 0mins

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