Math 8 Unit 4

Functions and Relations

Which of the relations below is a function?

A.) {(2,3), (3,4), (5,1), (6,2), (2,4)}

B.) {(2,3), (3,4), (5,1), (6,2), (7,3)}

C.) {(2,3), (3,4), (5,1), (6,2), (3,3)}

Given the relation A = {(5,2), (7,4), (9,10), (x, 5)}. Which of the following

values for x will make relation A a function?

A.) 7

B.) 9

C.) 4

The following relation is a function.{(10,12), (5,3), (15, 10), (5,6), (1,0)}

A.) True

B.) False

The graph of a relation is shown at the right. Is the relation is a function?

A.) Yes

B.) No

C.) Cannot be determined from a graph

Which of the relations below is a function?

A.) {(1,1), (2,1), (3,1), (4,1), (5,1)}

B.) {(2,1), (2,2), (2,3), (2,4), (2,5)}

C.) {(0,2), (0,3), (0,4), (0,5), (0,6)}

Is the relation depicted in the chart below a function?

A.) Yes

B.) No

C.) Cannot be determined from a chart

The graph of a relation is shown at the right. Is this relation a function?

A.) Yes

B.) No

C.) Cannot be determined from a graph

Is the relation depicted in the chart below a function?

A.) Yes

B.) No

C.) Cannot be determined from a chart

Given f (x) = 2x² - 3x + 6, find f (2.5).

A.) 11

B.) 23.5

C.) 76

The graph of a relation is shown at the left.

Is the relation a function?

A.) Yes

B.) No

C.) Cannot be determined from a graph

The graph of a relation is shown at the right.Is the relation a function?A.) Yes

B.) No

C.) Cannot be determined from a graph

i. Write the explicit formula for the sequence. 20, 24, 28, 32, 36, . . .

A.) 4n

B.) 4n+16

C.) -4n+16

D.) -4n+20

A display of cans on a grocery shelf consists of 20 cans on the bottom, 18 cans in the next

row, and so on in an arithmetic sequence, until the top row has 4 cans. How many cans,

in total are in the display? A.) 108

B.) 60

C.) 80

D.) 112

Given f (x) = 3x + 7, find f (5).

A.) 15

B.) 22

C.) 42

Which graph represents a function?

A.) B.)

C.) D.)

Which of the following is the 24th term of the arithmetic sequence.

3, -2, -7, -12…A.) -62

B.) -92

C.) -112

D.) -162

Given the sequence 20, 24, 28, 32, 36, . . . find the 50th term.

A.) 200

B.) 212

C.) 220

D.) 216

Find the explicit formula for a sequence where d = 3 and a = 58.

A.) 3n +10

B.) 3n-10

C.) 3n+20

D.) 3n+22

12

Find the explicit formula for 15, 12, 9, 6, .

A.) f(x)= -3n+18

B.) f(x)=-3n + 15

C.) f(x)= -3n -15

D.) f(x)= -3n -18

Find the explicit formula for an arithmetic sequence where = 4 and

= 10.A.) -6n+2

B.) 6n-2

C.) 6n+4

D.) 6n+10

1a

2a

Is 623 a term in the sequence 4, 10, 16, 22, . . . ?

A.) yes

B.) no

Find the explicit formula when =8 and = 13

A.) f(x)=8n+13

B.) f(x)= 8n+8

C.) f(x)= 5n+3

D.) f(x)= -5n-3

2a1a

You visit the Grand Canyon and drop a penny off the edge of a cliff. The distance the penny will fall is 16

feet the first second, 48 feet the next second, 80 feet the third second, and so on in an arithmetic sequence.

What is the total distance the object will fall in 6 seconds?

A.) 476 feet

B.) 566 feet

C.) 486 feet

D.) 576 feet

Is 328 a term in the sequence 8, 13, 18, . . .?

A.) yes

B.) no

Find the recursive formula for 5, 9, 13, 17, 21, . . .

A.) =5; +5

B.) =5; + 3

C.) =5; + 4

D.) =5; + 9

1a

1a

1a

1a

1na

1na

1na

1na

The sum of the interior angles of a triangle is 180º, of a quadrilateral is 360º and of a

pentagon is 540º. Assuming this pattern continues, find the sum of the interior angles

of a dodecagon (12 sides).A.) 1080 degrees

B.) 720 degrees

C.) 2160 degrees

D.) 4320 degrees

Given the recursive formula = -3;

+ 5. Find the next 3 terms of the sequence.

A.) -2, 3, 8

B.) 2, 7, 12

C.) -8, -12, -17

D.) 5, 10, 15

1na

1a

Given = 75 and d= -2 find the recursive formula for the sequence.

A.) =83; -2

B.) =85; -2

C.) = 75; - 2

D.) = 77; - 2

5a

1a

1a

1a

1a

1na

1na

1na

1na

Find the 100th term of the sequence given = 28 and d= 10

A.) 118

B.) 1018

C.) 10018

D.) 1180

1a

Given the recursive equation = -5; + 7.5, state the first 3 terms of the

sequence.

A.) -5, 2.5, 10,

B.) -5, -2,5, -10

C.) -5, 1.5, 8.5

D.) -5, -12.5, -20

1a

1na