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 x-values in a function.
Input
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 y-values in a function.
Output
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
In the situation of number of hours worked and total money earned, which quantity is DEPENDENT?
Total money earned
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
A function that shows a constant rate of change
Linear Function
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
x/2 = y
Linear
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.
