Am I a function?
y = mx + b
Function Facts
Linear or Nonlinear
Function Machine
100
Is the table a function? Explain.
X | Y
-3 | 3
-2 | -2
0 | 1
0 | 2
1 | 5
No, the input 0 has two outputs, 1 and 2.
100
What is the rate of change?
y = -2x + 4
-2
100
In a function, every input has one _____.
Output
100
What is the difference between a linear and non linear function?
A linear function is a straight line, and non linear is not a straight line.
100
Solve when x = 5
f(x) = -6x + 5
-25
200
Is this a function? Explain
No, it does not pass the vertical line test.
200
What is the initial value?
y = 5x + 25
25
200
What is a relation?
A set of ordered pairs.
200
Linear or non linear?
Linear
200
Solve when x = -1
f(x) = 5x - 10
-15
300
Is this a function? Explain.
Yes, every input has one output.
300
An online clothing company sells custom shirts. They charge $6.50 for each shirt and a flat fee of $3.99 for shipping.
Write a linear function in the form y = mx + b that represents the cost for an order of shirts.
y = 6.5x + 3.99
300
What is the domain?
The set of all x-coordinates.
300
Linear or nonlinear?
Nonlinear
300
Solve when x = -2
f(x) = 4 - x
6
400
Is the relation a function? Explain.
{(4,4), (5,6), (6,8), (6,10), (7,12)}
No, the input 6 has two outputs.
400
A family went to a baseball game. The cost to park the car was $5 and the cost per ticket was $21. Write a linear function in the form y = mx + b to represent the total cost for going to the game.
y = 21x + 5
400
What are the 3 ways we can represent functions?
Table, graph, and equation.
400
Is the function increasing, decreasing, or constant.
Constant
400
Solve when x = 0
f(x) = 1/2 x + 5
5
500
What kind of sequence is this?
an = a1 + (n-1) x d
Arithmetic Sequence
500
Name the dependent and independent variables.
Frequency is the independent variable.
Voltage is the dependent variable.
500
What are the two properties we can use to compare functions?
Slope and y-intercept
OR
Rate of change and initial value
500
Is this a linear or nonlinear function? How do you know?
Linear. There is a constant rate of change.
500
Solve when x = 1/2
f(x) = -2x - 8
-9