Vocab
Is it a Function?
Slope
Linear or Nonlinear
Misc
100
What is the defintion of a relation?
A relation shows the relationship between two numbers
100
Is it a Function? {(2, 3), (4, 5), ( -2, 6)}
Yes, Each input has exactly one output
100
Find the slope of the line containing the points (2,5) (7,9)
m= (9-5)/(7-2)= (4/5)
100
Is this graph linear or nonlinear?
linear
100
What is one key part of an equation to show a nonlinear function?
an exponent
200
What is the definition of a function?
Is a relation where each input has exactly one output.
200
Is it a function?
| x | y |
| 2 | 4 |
| 1 | 5 |
| 2 | 6 |
No because the input 2 has 2 outputs: 4 and 6
200
Find the slope of a line containing the following points (3,0) (3,4)
m = (4-0)/(3-3) = 4/0 (cannot divide by zero) slope is undefined
200
is this equation linear or nonlinear y=4x+7
linear
200
What equation do all lines have?
y=mx+b
300
What is the test to determine if a graph is a function?
Vertical Line Test
300
Is it a function? 
No it doesnt not pass the vertical line test as the vertical line test us shows us if there are multiple outputs for a single input.
300
Find the slope of this table
| x | y |
| 3 | 5 |
| 4 | 7 |
| 5 | 9 |
slope = 2
300
Is the equation y=x3 linear or nonlinear?
nonlinear
300
what does each variable represent in y=mx+b
y = output
m = slope (rate of change)
x = input
b = y-intercept (initial value)
400
what is a linear function?
a function that makes a straight line when you graph it on a coordinate plane and has a constant rate of change
400
Is it a function?
Yes it passes the vertical line test as each input (x-value) has exactly one output (y-value)
400
Find the slope of this table
| x | y |
| 1 | 4 |
| 2 | -2 |
| 3 | -8 |
slope = -6
400
Is the table linear or nonlinear?
| x -2 -1 | y 4 1 |
| 0 | 0 |
| 1 | 1 |
| 2 | 4 |
nonlinear - not going at a constant rate of change
400
how do we find the y-intercept?
the output (y-value) when x=0 (input=0). When the line crosses (touches) the y-axis.
500
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)
500
Is it a function?
no fails vertical line test
500
find the slope of this graph 
m = (-1-3)/(2--2) = (-4/4) = -1
500
Is it a function?
| x -2 -1 | y -8 -5 |
| 0 | -2 |
| 1 | 1 |
| 2 | 4 |
yes constant rate of change of 3
500
How do we determine if the slope is positive, negative, or zero from a graph?
by looking at the direction of the line from left to right or by calculating its slope