The Vocab
Are You Having Fun(ction)?
Don't be Slopey
Why Intercept?
Linear or Nonlinear?
What does it Mean?
100
This word is used to describe the set of all inputs for a function.
Domain
100
Is the following relation a function?
(1, 0), (2, 2), (3, 4)?
Yes
100
y=__x+b
m
100
y = mx + __
b
100
y = 5x + 2
Linear
100
You are comparing the amount of money (y) to the months (x). I tell you that the equation is y=-2x+500. What does the y-intercept mean?
You have $500 in your account before you start spending any money.
200
This word is used to describe the set of all outputs of a function.
Range
200
Is the following relation a function? Justify your answer.
(1, 1), (4, 1), (5, 2), (1, 2), (2, 5)?
No, the value of 1 repeats.
200
____ over ____
rise over run
200
If the y-intercept is the origin, x will = ___.
0
200
y = 1/2 x - 7
Linear
200
You are comparing the amount of money (y) to the months (x). I tell you that the equation is y=-2x+500. What does the slope mean?
You spend $2 per month.
300
This word describes a relation that pairs each x value with only one y value.
Function
300
Does the following table represent a function? Justify your answer.
x y
1 2
2 5
6 2
2 9
5 1
No, the value of 2 repeats.
300
A _____ line has an undefined slope.
vertical line
300
The y-intercept is the point where a line _____ the y-axis.
crosses or intersects
300
y = 4/3x2
Justify your response.
Nonlinear - x can not be in the denominator or have an exponent other than 0 or 1.
300
You know that the relationship between the distance traveled from home(y) and the time(x) is represented by y=75x+100. What do the y-intercept and slope mean?
You start 100 miles away from your home. (Must be the second day of a trip.) Then, you are driving at a rate of 75 miles per away away from your house.
400
Type of function that includes all lines except the vertical line.
Linear Functions
400
Is this a function and why?
No, because the x's repeat at 8 OR it does not pass the vertical line test
400
A _____ line has a slope equal to 0.
horizontal line
400
What's my equation?
y=x-3
400
y = x3
Justify your answer.
Nonlinear - This is a cubic function
400
Sketch a graph to represent the following:
You are on a plane. Your plane takes off and after a while, you reach cruising altitude. After a couple hours, your pilot descends to the airport.
500
Name for test that easily identifies if a graph is a function.
Vertical line test
500
Is this a function and why?
Yes, because the x's are all different OR it would pass the vertical line test.
500
The slope tells me how much ____ changes as ___ changes.
Y changes as X changes
500
What's my equation?
y=-x+4
500
2x + 3y = 7
Linear - It is in standard form.
500
Sketch the following graph:
You are at park by your house. You decide to head to your friend’s house. After biking really fast there, you spend a while at your friend’s house. Then, you casually bike back to your house.
