Functions
Linear Functions
Writing Linear Equations
100
Does this table represent a function? Explain your answer.
Yes, it's a function because all of the inputs/x-values are different.
100
The dependent variable.
What is the y?
100
In a linear equation, the variable that represents the slope.
What is m?
200
Does this graph represent a function? Explain your answer.
Yes, it's a function because there are no x-values directly over each other.
200
An equation that when graphed forms a straight line.
What is a linear equation?
200
In a linear equation, the variable represents the y-intercept.
What is b?
300
x-values y-values
(inputs) (outputs)
Does this mapping (arrow) diagram represent a function? Explain your answer.
Yes, it's a function because there is not more than one arrow coming from the inputs.
300
A relation where each x-value corresponds with exactly one y-value.
What is a function?
300
A line has a slope of -2 and has a y-intercept with a y-value of 1. Provide the linear equation that represents this line.
What is y = -2x +1?
400
(-1, 3), (0, 2), (1, 1), (2, 0), (0, 3)
Explain if this set of ordered pairs represents a function.
No, it's not a function because there are two points with 0 for the x-value and different numbers for the y-values.
400
A way to determine if a graph is a function or not. If you can draw a vertical line through the graph and it touches more than one point, the graph is not a function.
What is the The Vertical Line Test?
400
A line has a slope of 3 and goes through the point (0,6). Provide the linear equation that represents this line.
What is y = 3x +6?
500
(9,13) (11,15) (12,16) (17,21) (9,26)
Explain if this set of ordered pairs represents a function.
No, it's not a function because there are two points with 9 for the x-value and different numbers for the y-values.
500
What is the equation of this linear function?
It is y=(-1/3)x+5
500
Provide the linear equation for a line that has a y-intercept of (0, 7) and a slope of -1/2.
What is y = (-1/2)x + 7?