Function or Not?
LINE-ear
Functional Stories
Oops All Math!
100
Does the following diagram represent a function?
No; -3 has two outputs.
100
What does the term "linear" mean?
A straight line with a constant rate of change.
100
Your computer keyboard is broken. Sometimes when you press the "K" key it types a "k," but sometimes it types a "j."
Is the letter on the screen a function of the key you press?
No. An input has two outputs.
100
What is the solution to the equation:
2x + 10 = 42
x = 16
200
Which of the following do not represent a function? 
The last one, fails the vertical line test.
200
Is the following equation linear?
y = 2x + 10
Yes, there is a slope of 2.
200
Mrs. Johnson asks, "Who was born in October?" Three different students raise their hands: Mark, Sarah, and Jay.
Is the student a function of the birth month?
No; October is tied to three people.
200
The three rigid transformations include?
Translation, rotation, and reflection.
300
Does the following equation represent a function?
y=-2x + 1
Yes, there is a constant rate of change/slope; it's a straight line.
300
James wants to save some money. In his savings, he has $500, but decides to save $50 every week from his job. Does James' situation represent a linear function?
Yes, he is depositing the same amount each week.
300
A math test has 20 questions. Each question is worth exactly 5 points.
Is the student's final score a function of the number of questions they got right?
Yes, each amount of questions right will give an exact score amount.
300
Solve the following equation:
8(x - 6) = -6 + 2x
x = 21
400
Does the following equation represent a function?
x = 4
No; this is a vertical line that fails the vertical line test.
400
Pablo goes hiking. At first, he runs up the mountain but decides that's not a good idea, so after 30 minutes, he takes an hour long break. Then, he gets hungry, so he decides to quit and go back down to go to Outback Steakhouse. Is his journey up the mountain linear?
No, he went fast, then paused, then went down. Not a constant rate of change.
400
You are looking at a calendar for the current year. You pick a specific date (like October 3rd).
Is the day of the week (Monday, Tuesday, etc.) a function of the date?
No, a day can produce many dates!
400
Secret QuestionWow!Wow!
What is the name of Batman's butler?
Alfred.
500
Does the following table represent a function?
Input Output
1 1
2 1
3 1
1 1
Yes, all input have exactly one output.
500
Daily Doublewow!wow!
A ball is launched from a tower, making an arc through the sky before landing on the ground. This is not a linear function. What is the name of the shape the ball made through the sky in math terms?
A parabola.
500
A tree stands outside the school. As the sun moves across the sky during the day, the tree's shadow changes length.
Is the length of the shadow a function of the time of day?
Yes, each time will produce one specific shadow length.
500
Rotate the following point 90o clockwise about the origin: (-3, 5)
(5, 3)