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Math 8 Unit 4

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Math 8 Unit 4

Functions and Relations

Which of the relations below is a function?

iRespond Question

Multiple Choice

F

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)}

D.)

E.)

iRespond Question

Multiple Choice

F

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

D.)

E.)

The following relation is a function.

{(10,12), (5,3), (15, 10), (5,6), (1,0)}

iRespond Question

Multiple Choice

F

A.) True

B.) False

C.)

D.)

E.)

Which of the relations below is a function?

iRespond Question

Multiple Choice

F

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)}

D.)

E.)

iRespond Question

Multiple Choice

F

The graph of a relation

is shown at the right.

Is this relation a

function?

A.) Yes

B.) No

D.)

C.) Cannot be determined from a graph

E.)

Is the relation depicted in the chart below a function?

iRespond Question

Multiple Choice

F

A.) Yes

B.) No

C.) Cannot be determined from a chart

D.)

E.)

iRespond Question

Multiple Choice

F

The graph of a relation

is shown at the right.

Is the relation is a

function?

A.) Yes

B.) No

D.)

C.) Cannot be determined from a graph

E.)

Is the relation depicted in the chart below a function?

iRespond Question

Multiple Choice

F

A.) Yes

B.) No

C.) Cannot be determined from a chart

D.)

E.)

iRespond Question

Multiple Choice

F

The graph of a relation

is shown at the left.

Is the relation a

function?

A.) Yes

B.) No

D.)

C.) Cannot be determined from a graph

E.)

The graph of a relation

is shown at the right.

Is the relation a

function?

iRespond Question

Multiple Choice

F

A.) Yes

B.) No

C.) Cannot be determined from a graph

D.)

E.)

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

iRespond Question

Multiple Choice

F

A.) 15

B.) 22

C.) 42

D.)

E.)

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

iRespond Question

Multiple Choice

F

A.) 11

B.) 23.5

C.) 76

D.)

E.)

Which graph represents a function?

iRespond Question

Multiple Choice

F

A.)

B.)

D.)

C.)

E.)

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?

iRespond Question

Multiple Choice

F

A.) 108

B.) 60

C.) 80

D.) 112

E.)

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

3, -2, -7, -12…

iRespond Question

Multiple Choice

F

A.) -62

B.) -92

C.) -112

D.) -162

E.)

Write the arithmetic rulefor the sequence. 20, 24, 28, 32, 36, . . .

iRespond Question

Multiple Choice

F

A.) 4n

B.) 4n+16

C.) -4n+16

D.) -4n+20

E.)

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

iRespond Question

Multiple Choice

F

A.) 200

B.) 212

C.) 220

D.) 216

E.)

Find the explicit formula for an arithmetic sequence where = 4 and = 10.

iRespond Question

Multiple Choice

F

A.) -6n+2

B.) 6n-2

C.) 6n+4

D.) 6n+10

E.)

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

iRespond Question

Multiple Choice

F

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

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

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

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

E.)

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

iRespond Question

Multiple Choice

F

A.) =5; +5

B.) =5; + 3

C.) =5; + 4

D.) =5; + 9

E.)

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?

iRespond Question

Multiple Choice

F

A.) 476 feet

B.) 566 feet

C.) 486 feet

D.) 576 feet

E.)

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).

iRespond Question

Multiple Choice

F

A.) 1080 degrees

B.) 720 degrees

C.) 2160 degrees

D.) 4320 degrees

E.)

Given the recursive formula = -3;

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

iRespond Question

Multiple Choice

F

A.) -2, 3, 8

B.) 2, 7, 12

C.) -8, -12, -17

D.) 5, 10, 15

E.)

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

iRespond Question

Multiple Choice

F

A.) =83; -2

B.) =85; -2

C.) = 75; - 2

D.) = 77; - 2

E.)

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

iRespond Question

Multiple Choice

F

A.) 118

B.) 1018

C.) 10018

D.) 1180

E.)

Given the recursive equation = -5;

+ 7.5, state the first 3 terms of the sequence.

iRespond Question

Multiple Choice

F

A.) -5, 2.5, 10,

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

C.) -5, 1.5, 8.5

D.) -5, -12.5, -20

E.)