Function or not
Compare Functions
Linear or not?
Function Equations
Real World
100
Does the following set of ordered pairs represent a function or not?
(-1,2) (0,1) (1,1) (2,0)
Yes
100
Which function has the greater rate of change?
y=4x+2
y=2x+4
y=4x+2
100
Which of the following functions are linear?
A. y = x2 + 2
B. 2x2 + y2 = 5
C. y = 2/x
D. y= 15 - 0.5x
D
100
Write an equation in slope-intercept form to describe the relationship between time and water shown below.
Time (min.) Water (gallons)
0 2
1 5
2 8
y = 3x + 2
100
Eric received a $75 gift card to Chipotle for his birthday. He always orders the same chicken bowl each time he visits, which costs $10.60 including tax. Would the relationship between the amount of money remaining on his gift card and the number of chicken bowls Eric buys represent an increasing or decreasing function?
Decreasing function
200
Which of the following graphs do NOT represent a function?
1 2 3
Graph 3
200
Phone company A charges $10 a month and $0.25 per minute per phone call. Company B charges $50 per month, and unlimited calls. Which company has a greater slope?
Company A
200
Does the relationship below represent a linear function?
Hours (x) Money Earned (y)
1 28
2 56
3 84
4 112
Yes
200
Luna went to the school store to buy pencils. Luna bought 10 pencils for $12.50 . If Luna started with $20, write an equation to show the amount of money Luna will have left, y, after buying x amount of pencils.
y = -1.25x + 20
200
Which equation represents an increasing function?
A) y = 0.5x - 2
B) y = -2x + 5
C) y = 4
D) x = -1
A) y = 0.5x - 2
300
Which of the following tables do NOT represent x as a function of y?
B
300
Rose's flower shop charges $45 dollars per flower arrangement, and a $10 delivery fee. Joe's flower shop charges $47 dollars per flower arrangement and a $8 delivery fee. What is the difference in their y-intercepts?
2
300
Does the relationship below represent a linear function? If so, what is the rate of change?
Days (x) Inches (y)
0 5
2 9
3 11
5 15
Yes, 2
300
It costs $50 to rent a U-Haul truck for one day, including a one time service fee. It costs $130 to rent the truck for 5 days, including a one time service fee. Based on these two fees, what is the daily fee to rent a U-Haul truck?
$20
300
Which scenario can be represented with an increasing linear function?
A) The population of a town doubles every year.
B) A bacteria colony increases its population by 1.2% every hour.
C) A runner runs at a constant speed of 5 miles per hour.
D) Ms. Barefoot loses 5 pencils every day.
C
400
What value could replace t in the ordered pairs below in order to NOT make this relation a function?
(1,8) (t,10) (4,12) (7,15)
1,4, or 7
400
Which function below has the smallest slope?
12x + 2y = 7
y = 2x + 10
12x + 2y = 7
400
What is the y-intercept of all proportional functions?
0
400
The BEST and MOST descriptive answer will get ALL the points!!!!!!!
Given the equation y = x -2 , describe what this would look like on a graph. Include the slope, y-intercept, and whether it is a straight or curved line.
Slope: +1 , count up 1 and over 1
Y-Intercept: -2 , the line crosses the y-axis at -2
Straight Line
400
Sketch the graph to represent the scenario below, where x represents the time and y represents height of the diver:
A diver is on the ground and debating if they want to jump off the highest diving board, or the lowest board. The diver starts walking up the ladder, and stops at the lower diving board. They look out for a minute and decide they want to climb up to the higher one. Once the diver is at the highest board, they stretch their arms and legs, then leap off the board into the pool below.
Key features:
Starts at (0,0)
Increases
Horizontal
Increases
Horizontal
Steep decrease
500
Which of the following input, output pairs could NOT be represented with a function?
1. A street name maps to a house number.
2. A state maps to its state capital.
3. A phone number maps to a cell phone.
3. The amount of hours worked maps to the amount of money earned.
1. A street name maps to a house number.
500
Ms. White's donut shop has a special this weekend for $1.50 per donut, and a $5 packing fee. Normally, Ms. White sells 2 donuts for $9, 4 donuts for $13, 6 donuts for $17, and so on. If her packing fee does not change, how much will each donut be discounted?
$0.50 each
500
How could you change the equation below to make this a linear function?
y = 2x2 + 5
Remove the exponent on x
500
Terry is running along a path, and starts at mile 2. In 30 minutes, Terry is at mile 5. Write an equation to represent the mile, y, Terry will be at after x amount of minutes.
y = 0.1x + 2 or y = 1/10 x + 2
500
Best and most creative answer wins. Everyone has ONE minute.... GO
Write a scenario that represents a decreasing linear function. )Make sure you define your input and output.)
Input and output are defined correctly.
Negative constant rate of change is shown.