Transformations
Evaluating & Interpreting Functions
Linear and Nonlinear Functions
Domain & Range
Is it a Function?
100
How do the graphs of f(x) = 2x + 1 and g(x) = 2x + 3 compare?
The graph of g(x) was translated 2 units up
100
Evaluate f(2) if f(x)=-3x
f(2) = -6
100
Is the following function Linear or Nonlinear?
x y0 5
1 10
2 15
3 20
4 25
Linear
100
State the domain and range:
| x | y |
| 3 | 7 |
| 5 | 9 |
| 3 | 8 |
D: {3, 5} R: {7, 8, 9}
100
Is it a function? Justify your answer. {(2, 3), (4, 5), ( -2, 6), (3,8), (6, 10)}
Yes, each input has exactly one output.
200
How do the graphs of f(x) = 2x +1 and g(x) = 2(x+3) +1 compare?
The graph of g(x) is translated 3 units to the left
200
Evaluate f(7) if f(x)= -(4x+2)
f(7) = -30
200
Shauna is going fishing. She records how many worms she has left at the start of each hour. Write a linear function rule for that data.
x 0 1 2 3 4
y 9 7 5 3 1
f(x) = -2x+9
200
State the domain and range: 
D: {1, 2, 3, 4, 5, 6} R: {-1, 0, 1, 2, 3, 6}
200
Is it a function? Justify your answer.
| x | y |
| 2 | 4 |
| 1 | 5 |
| 2 | 6 |
No, the input of 2 has two different outputs.
300
How do the graph of f(x) = 2x + 5 and g(x) = 3(2x+5) compare?
Vertical stretch of slope and y intercept by a SF of 3.
300
The function f(x) = 4x + 10 models tha amount of money Francis makes when babysitting for x hours. How much money will he make for 2 hours of babysitting work?
$18
300
Is the following relation linear or nonlinear?
x y
0 5
1 7
3 9
Nonlinear
300
State the domain and range: 
D: -4 ≤ x R: All Real Numbers
300
Draw an arrow diagram for the following relation. Is it a function? {(2,3) (0,1) (2,2) (0,3) (-1,4) (1, 5)}
No, the inputs 2 and ) have more than one output.
400
How do the graph of f(x) = x +6 and g(x) = 3x + 6 compare?
Horizontal compression by a SF of 3
400
The function below shows the cost of a hamburger with different numbers of toppings (t). f(t) = 1.90 + 1.40t What does the number 1.40 represent in this equation?
The cost per topping
400
Write a linear function in function notation to represent the relation shown.
x 1 2 3 4 5
y 68 71 74 77 80
f(x) = 3x + 65
400
Ali and Kris are driving to a city that is 120 mi from home. They have already 20 Miles and are driving at a constant rate of 50 mph. What is a reasonable domain for this situation?
Between 0 and 2
400
Do the following ordered pairs represent a function? If so, is it one to one? {(0,0) (1,0) (2,0) (3,0) (4,0)}
Yes, but not one to one
500
What is the value of k that transforms f(x) = 4x+2 to g(kx) where the slope is 2?
1/2
500
The function f(x) = 3.50x + 25.00 represents the cost to purchase a custom bouquet of flowers and a vase where (x) is the number of flowers. What does the 25 in the equation represent.
The cost of the vase.
500
Joseph works at a local ice cream store after he gets out of school. He makes $15 for showing up and $7 per hour until business slows down. Would this represent a linear or nonlinear function?
Linear
500
Joseph works at a local ice cream store after he gets out of school. He makes $15 for showing up and $7 per hour until business slows down. What would a reasonable domain be for this function?
answers may vary. Must be less than 12 hours.
500
Is it a function? Justify your answer. 
Yes, each input has exactly one output.