Functions
Linear vs Nonlinear
Writing Equations
Volume
Variety
100
What test is used to determine if a graph is a function or not?
Vertical line test
100
What must happen for a table to be considered a linear function.
Each x value must increase by the same thing and each y value must increase by the same thing. It must have a constant rate of change.
100
Rate of change is the same as what?
Slope
100
Why is every answer cubed when dealing with volume?
Volume includes 3-D shapes.
100
What is an equation for the line in the graph below (find the slope and y-intercept):
y = -3/4x - 3
200
Is this table a function yes or no? Explain why!
Not a function. -15 repeats on the x side.
200
Is this graph a linear or nonlinear function? Explain why!
Nonlinear. Not a straight line
200
Write an equation that represents the line that has a slope of -2 and passes through the point (6,5).
y = -2x + 17
200
What is the volume formula for a cylinder, cone and sphere?
Cylinder: (π) x (radius squared) x (height)
Cone: (1/3) x (π) x (radius squared) x (height)
Sphere: (4/3) x (π) x (radius cubed)
200
Write an equation for the line that is in the graph below(find the slope and y-intercept):
y = 1/3x + 1
300
Is this graph a function yes or no. Choose one person from the group to support your answer.
Not a function. Doesn't pass the vertical line test.
300
Which equation below is a nonlinear function?Explain why!
D...it has an exponent
300
Write an equation for a line that has a slope of -2 and passes through the points (3,-4) .
y = -2x + 2
300
What is the volume of this cylinder:
226.2 ft 3
300
The Student Council is hiring a DJ for the school dance. The first DJ charges $25 an hour. The second DJ’s fees are shown in the graph. Compare the functions for each DJ by comparing the fees.
Which DJ charges less per hour? How much does that DJ charge per hour?
What is the fee for 3 hours for each DJ?
1. Second DJ. $15 per hour
2.
1st DJ= $75
2nd DJ= $45
400
Is this set of ordered pairs a function or not a function?
Not a function
400
Determine if the following tables are linear or nonlinear:
1. Nonlinear
400
Write an equation that explains the relationship between the x and y in the table below:
y = 2x + 5
400
What is the volume of the cone below:
615.8 yd 3
400
A plumbing company charges an initial fee of $50, plus an additional $26 per hour of service. A second company charges an initial fee of $74, plus an additional $18 per hour of service.
Write equations for both companies
Find the cost for 3 hours of service for each company
1.
1st company: y=26x + 50
2nd company: 18x + 74
2.
1st company= $128
2nd company= $128
500
Explain if the two graphs are a function or not (using the vertical line test.
1. 
2. 
1. Not a function
2. Is a function
500
Which one of the tables below represents a linear function?
B. The x values increase by 2 and the y values increase by 2
500
Write an equation that explains the relationship between the x and y in the table below:
y = 2x + 7
500
What is the volume of the sphere below:
904.8 in 3
500
When the input is 8, what’s the output?
When the input is 5, what is the output?
Where is the graph neither increasing or decreasing?
Where is the graph increasing?
Where is the graph decreasing?
1. 0
2. 3
3. x > 8
4. 3 > x > 5
5. 0>x>3 and 5>x>8