Vocabulary
Proportionality
Functions
Correlation
Slope
100
An equation stating that two ratios are equal.
Proportion
100
In a proportional relationship there is a constant rate of __________________.
Change
100
What is the domain of this function?
__x f(x)_
1 14
-3 6
4 -2
7 1
domain = {1, -3, 4, 7}
100
In one word, correlation describes ________________.
Relationship
100
What kind of slope is shown below?
Undefined.
200
All possible input values of a function.
Domain
200
Complete the table to show a proportional relationship.
x y
__ 0
3 21
6 __
__ __
x y
0 0
3 21
6 42
9 63
200
Is this a function? Why or why not?
x f(x)
-2 3
0 9
-2 -7
1 14
No, because the input -2 has two different outputs.
200
What are the three types of correlation that a graph can have?
Positive, negative, or none
200
What kind of slope is shown below?
Zero slope.
300
All possible output values of a function
Range
300
A graph of a proportional realtionship must have these two characteristics.
1. Pass through the origin
2. Be a straight line
300
This is a procedure you can use to determine whether or not a graph describes a function or a non-function.
Vertical line test
300
What is the goal of drawing a line of best fit?
To best represent the data set.
300
What is the formula for finding slope?
y2 - y1
x2 - x1
400
A special relationship in which each input value has exactly one output value.
Function
400
What is the proportionality constant in the following relationship?
x y
-3 12
-2 8
-1 4
0 0
proportionality constant = -4
400
Make a function table for f(x) = (x / 4) +1 for the domain {-8, -4, -1, 4, 8}
See board.
400
What kind of correlation is shown here?
Positive
400
Find the slope between the following two points. Reduce if possible. Then say if it is positive, negative, zero, or undefined.
(-3, 15) and (4, 7)
Slope = -8 / 7
Negative slope
500
The ratio of vertical change to horizontal change, y to x, and rise to run. A measure of steepness.
Slope
500
Give one real-world example of a proportional relationship.
Ex. 1 Distance and time while a robot is running a marathon.
Ex. 2 Cost of buying several of the same grocery item.
500
Write a function that describes the following relationship.
x f(x)
1 6
2 8
3 10
4 12
f(x) = 2x + 4
500
Fill in the blanks.
In a negative correlation, as x ______________, y __________________.
In a negative correlation, as x increases, y decreases.
500
Find the slope between the following two points. Reduce if possible. Then say if it is positive, negative, zero, or undefined.
(100, 134) and (100, 76)
Slope = -58/0
Undefined