Function vs. Not a Function
Linear vs. Nonlinear
Domain & Range
Function Equations
100
What is the definition of a function?
Every input value has exactly one output value.
100
is the given function linear or nonlinear? Explain.
Linear because its a straight line
100
Identify the domain and range of the following:
D: -2 < x < 4
R: -3 <= y <= 3
100
How do you read this the correct way?
f(x) =
f of x
200
What are the two ways you can determine if something is a function or not?
Vertical Line Test & Different x-values
200
is the given function linear or nonlinear? Explain.
Linear because the inputs and outputs both change at a constant rate.
200
What is the domain and range of the graph?
Domain: x >= 0
Range: y >= -2
200
Solve
f(x) = 35 if f(x) = 5x
x = 7
f(7) = 35
300
Determine whether the given relation is a function or not and explain your answer.
{(2,0), (3,5), (-2,1), (3,10), (-6,-11)}
Not a function
When x = 3, y = 5 and 10
300
Is the given function linear or nonlinear? Explain.
y = x2 + 10
Nonlinear because the x has an exponent
300
Find the domain and range of the following set:
{(1, 1) (2, 0) (0, 3) (0, 6)}
D: {0, 1, 2}
R: {0, 1, 3, 6}
300
Solve f(9)
f(x) = x + 13
f(9) = 22
400
One of the tables below are a function the other isn't. Explain the difference between the two.
1. 2. 
Table 1 is a function because all of its x-values have only one y-value
400
Is the given function linear or nonlinear? Explain.
y = 1/2x - 3
Linear (y=mx+b)
400
What the domain and range of the following?
D: -2 <= x <= 6 R: -6 <= y <= 2
400
Find the x and y-intercepts:
f(x) = 1/2x + 4
(-8, 0) x = -8
(0, 4) y = 4
500
Is the relation a function or not?
{(0,1), (1,2), (2,3), (3,4), (4,5)}
Function
500
Is the table linear? Explain.
x | 0 | 1 | 2 | 3 |
y | 2 | 0 | -2 | -4 |
Linear, there is a constant rate of change in both the x & y-values
500
Identify the domain and range of the following graph.
Range: y = -2
Domain: All Real Numbers
500
Find the x and y-intercepts:
f(x) = -2x + 10
(5, 0) x = 5
(0, 10) y = 10