Are You Having Fun(ction)?
Am I a Function?
Rate of Change
Type of Functions
The "Real" World
100
This word is used to describe the set of all inputs for a function.
Domain
100
Am I a function? Explain your reasoning.
A. {(4, -1), (5, 3), (6, -1), (6, 4)}
B. {(4, -1), (5, -4), (6, -1), (7, -3)}
C. {(4, -1), (4, -3), (5, -4), (6, -5)}
D. {(4, -1), (4, -2), (4, -2), (4, -2)}
B. {(4, -1), (5, -4), (6, -1), (7, -3)}
100
x y
2 10
4 20
6 30
8 40
10 50
5
100
What type of linear function is
y=-4x+17?
Decreasing Linear Function
100
Sarah already knows 4 dance moves. She decides to take dance lessons to learn more new moves. The instructor tells her that she can learn two new moves each week.
Write an equation that can be used to find the number of dance moves (y) that Sarah knows after x weeks of lessons.
y = 2x + 4
200
This word is used to describe the set of all outputs of a function.
Range
200
Am I a function? If so, what type of function?
Yes. A nonlinear function.
200
Which function has a greater rate of change?
Function 1: y=3x+5
Function 2:
x y
3 18
6 24
9 30
12 36
Function 1
200
What is the graph of a linear function?
Straight Line
200
Camille already knows 2 dance moves. She decides to take dance lessons to learn more new moves. The instructor tells her that she can learn three new moves each week.
How many weeks of dance lessons will it take for Camille to know a total of 11 dance moves?
3 weeks
300
This word is used to describe a set of ordered pairs.
Relation
300
Am I a function? Explain your reasoning.
No. There is an input (2) being assigned to two outputs (20 & 30).
300
The cost of renting a banquet hall for the school dance is $100 plus $15 for each student that attends.
15 or $15 per student
300
y = x2+1
Nonlinear Function (Quadratic Function)
300
Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans and rice for a potluck dinner. Let b be the number of pounds of beans Lin buys and r be the number of pounds of rice she buys when she spends all her money on this meal.
Write an equation relating the two quantities.
2r+1.6b=10
400
This word describes a function that produces a straight line when graphed, representing a constant rate of change between two variables.
Linear
400
Does the following table represent a function? Explain your reasoning.
x y
1 2
2 5
6 2
2 9
5 1
No. There is an input (2) being assigned to two outputs (5 & 9).
400
Which function has a greater rate of change?
Function 1: y=3x+5
Function 2: A line passing through the point (4, -12) and (6, 22).
Function 2
400
x y
-2 -1
-1 0
0 1
1 2
2 3
Linear Function
400
Sonia opened a savings account and then added the same amount to the savings account every week. After 5 weeks, her savings account had a total of $45. After 10 weeks, her savings account had a total of $75. Which equation represents the amount of money (y), in dollars, in Sonia’s savings account after x weeks?
A. y=20+5x
B. y=6x+15
C. y=5x+ 20
D. y=15x + 6
B. y=6x+15
500
This word describes any set of ordered pairs where each x-value is paired with one y-value.
Function
500
Is this a function? Explain your reasoning.
No. There is an input (8) being assigned to two outputs (-3 & 3).
500
A plumber charges $50 for a house call plus $40 per hour of work. What is the rate of change?
40 or $40 per hour
500
x y
-2 4
-1 1
0 0
1 1
2 4
Nonlinear Function (Quadratic Function)
500
A customer went to a garden shop and bought some potting soil for $17.50 and 4 shrubs. The total bill was $53.50. Write and solve an equation to find the price of each shrub.
4x+17.50 = 53.50 or 4p+17.50=53.50
x=9.00 or p=9.00