Domain and Range
Linear Functions
Transformations
Arithmetic Sequences
100

What values are the domains and which are the ranges?

Domain= x-values

Range= y-values

100

Find the value of f(x)= 4x+10 when x= -2

f(x)=2

100

Compare f(x) and g(x) below. What transformation is taking place?

f(x)=-7x+9

g(x)=-7(x+2)+9

shift left 2 units

100

How do you know if a sequence is arithmetic?

There is a common difference.

200

What is the domain and range of the following points?

(2,4) (6,-3) (5,-2) (7,4)

D: 2,6,5,7

R: 4,-3,-2

200

Find the value of f(x)= -3x+5 when x= -4

f(x)=17

200

Compare f(x) and g(x) below. What transformation(s) is taking place?

f(x)=x

g(x)= x -5

shifted 5 units down

200

Is the following sequence arithmetic or not? If it is arithmetic, what is the common difference?

-9,-3,3,9,15

it is arithmetic

d=6

300

How do you know if a relation is a function or not? 

If the x-values repeat it is not a function

300

Find the value of f(3) for the function f(x)=-2x+7

f(x)=1

300

Write the equation for g(x) below. 

f(x)=3x+4

g(x)= 2f(x)

g(x) = 6x + 8

300

Write an explicit formula for the following sequence. 

{4.5, 9, 13.5, 18}

an= 4.5+4.5(n-1)


400
Is the following a function? Why?


(-2,4)(3,2)(2,1)(4,7)(3,-5)

No because the 3 repeats

400

Find the value of f(-5) for the function f(x)=3x+7

f(x)= -8

400

Compare f(x) and g(x) below. What transformation(s) is taking place?

f(x)=4x - 5

g(x)= 2(4x-5)

vertically stretched

400

Convert the following formula to recursive.

an= 13 - 4(n - 1)

a1= 13

an=an-1 - 4

500

Determine a reasonable domain and range.

Jamie works at least 5 hours a week after school and she earns $9.25 an hour. Compare the relationship between the number of hours works and the total amount earned.

D: # of hours works >5

R: multiples of 9.25

500

Write a linear function (equation) for the data below.

x: 0  1   2  3 

y: 3 -1 -5 -9

f(x)=-4x+3

500

Compare f(x) and g(x) below. What transformation is taking place?

f(x)=4x

g(x)= (4x-3)+2

shift up 2 and a right 3

500

Based on the following sequence, write a recursive and explicit formula.

{12,19,26,33}

explicit: an=12+7(n-1)

recursive: a1=12

an=an-1 +7

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