Vocabulary
Function Rule
Input-Output Chart
Linear Equations
Linear or Nonlinear
100
A relation that assigns one output value to one input value.
What is a function?
100
Using the function rule d = 3t. Find each output when t = 2, 8, and 20.
What are 6, 24, and 60?
100
Function Rule: d = 5c
Input: Output:
1
3
Output: 5, 15
100
Linear
200
The relationship between each input and output. A fancy word for an equation.
What is a function rule?
200
Use the function rule c = 15x + 10. Find each output for x = 0, 2, and 4.
What are 10, 40, and 70?
200
Function Rule: y = 0.25x
Input: Output:
1
3
5
Output: 0.25, 0.75, 1.25
200
Nonlinear
300
A function whose points form a straight line when graphed.
What is a linear function?
300
Use the function rule I = 7r - 4. Find each output for when r = -2, -1, and 2.
What are -18, -11, and 10?
300
Function Rule: y = 2x +3
Input: Output:
-1
0
2
Output: 1, 3, 7
300
Nonlinear
400
Functions whose graphs do not form straight lines.
What is a nonlinear function?
400
The function F = 9/5C + 32 converts temperatures in degrees Celsius C, to degrees Fahrenheit, F. Evaluate the function for C = 20.
What is F = 68 degrees?
400
Function Rule: p = 1.5 + 2m
Input: Output:
-2
0
2
Output: -2.5, 1.5, 5.5
400
Which equation is nonlinear?
y = 3(x +5) -5
y = 4x2 - 16
y = 4x2 - 16
500
Discrete data is only in whole numbers, and graphed with a dotted line. Continuous data, can have fractions of numbers, and is graphed with a solid line.
What is the difference between discrete and continuous data?
500
Paint brushes cost $1.79 each. The function rule c = 1.79p gives you the cost in c dollars for p paintbrushes. Mr. Jordan needs to by 27 paintbrushes for his class. How much will he spend?
Mr. Jordan will spend $48.33, for 27 paintbrushes.
500
Function Rule: y = 3x - 2
Input: Output:
-2
-1
0
1
2
Outputs: -8, -5, -2, 1, 4
500
Which table is linear?
Table #1