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Vocabulary
Graphing stories
Independent & Dependent
Is it a Function?
100
What is the definition of domain?
A set of input values (all values of x).
100

Briefly explain a possible story of this graph

Ms. Wicker starts to walk away from her parked car at Cocoa Cinnamon but goes back after a few feet remembering she forgot to lock it. Then she goes inside to order her coffee, waits for a few minutes, and returns to her car.

100

You and a friend are studying for a quiz. You want to get a higher score than your friend, so you decide to spend exactly 20 more minutes studying than your friend does. The relationship between these two variables can be expressed by the equation y=x+20, where x is the number of minutes your friend spends studying, and y is the number of minutes you spend studying. Identify the independent (x) and dependent (y) variables.

Independent (x) Variable: The number of minutes your friend spends studying. Dependent (y) Variable: The number of minutes you spend studying.

100
Is it a function? Justify your answer. {(2, 3), (4, 5), ( -2, 6)}
Yes, each input has exactly one output.
200
What is the definition of range?
The set of output values (all values of y).
200

How would you describe what's happening between 6-18 minutes on the graph?

The distance stays the same at 3 blocks for this time period, meaning the dog owner and their dog stopped for this amount of time -- dog park, coffee shop, etc.

200

Identify the independent (x) variable: The relationship between the number of hours worked and the amount of money earned.

The number of hours worked.

200
Using the vertical line test, does the graph of the points (1,3) and (1,5) represent a function?
No, the points fail the Vertical Line Test.
300
What is the definition of a function?
A relationship between input and output values. Each input has exactly one output value.
300

After how many hours does the biker return home?

10 hours

300

Identify the dependent (y) variable: The relationship between your allowance and the number of chores you do.

Your allowance.

300
Is it a function? Justify your answer.
x y
2 4
1 5
2 6
No, the input of 2 has two different outputs.
400

Which variable is the input, and which one is the output? 

(Which one is the x-variable, which one is the y-variable?)

x-variable is the input, y-variable is the output

(x - independent, y - dependent)

400

Which graph explains a diver who dives further down into the ocean during his dive (graph doesn't include the diver coming back to the surface)

Bottom right graph

400

Identify the independent (x) and dependent variables (y): You are buying boxes of cookies at a bakery. Each box of cookies costs $4.

Independent Variable: The number boxes of cookies purchased. Dependent Variable: How much you spend at the bakery.

400
Is it a function? Justify your answer.
Yes, it passes the Vertical Line Test.
500
What is the test to tell if a graph is a function?
Vertical Line Test
500

Write a scenario to explain each part of the graph (6 different parts) 

A hiker starts at 5 feet above sea level, reading the map of their hike. Then they start hiking at 10 minutes and continue to hike for 10 more minutes until stopping to pick flowers for 10 minutes. The next 10 minutes of their hike takes them down hill before a steep last 10 minutes of their hike where they reach the top of the mountain and stop to enjoy the view.

500

Identify the independent (x) and dependent (y) variables: On your math quiz, you earn 5 points for each question that you answer correctly.

Independent Variable: Number of questions answered correctly. Dependent Variable: Score on the quiz.

500
Is it a function? Justify your answer.
Yes, each input has exactly one output.