Function vs. Not a Function
Linear vs. Nonlinear
Continuous: Domain & Range
Discrete: Domain & Range
100
What is the definition of a function?
Every input value has exactly one output value.
(Answers may vary)
100
is the given function linear or nonlinear? Explain.
Linear because its a straight line that constantly increases.
100
Identify the domain and range of the following:
D: -2 < x < 4
R: -3 <= y <= 3
100
Find the domain and range of the following set:
{(9, 1) (-8, 0) (-1, 7) (0, 6) (-5, -7)}
D: {-8, -5, -1, 0, 9}
R: {-7, 0, 1, 6, 7}
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. m=4/1 <-- constant rate
200
What is the domain and range of the graph?
Domain: 0 <= x < infinity
Range: -2 <= y < infinity
200
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
Determine whether the given relation is a function or not and explain your answer.
Not a function because it fails the vertical line test.
300
Is the given function linear or nonlinear? Explain.
Nonlinear because it does not have a constant rate. The y values change by 5,8,9, and 6.
300
What is the domain and range of the following?
Domain: -infinity < x < infinity
Range: -4 <= y < infinity
300
Find the domain and range of the following:
{(0, 1) (0, 2) (0, 0) (0, -2) (0, -8)}
D: {0}
R: {-8, -2, 0, 1, 2}
400
One of the tables below are a function the other isn't. Explain the difference between the two.
The first table is a function and the second isn't, x must always be different to be a function.
400
between x=1 and x=5
400
What the domain and range of the following?
D: -2 <= x <= 6 R: -6 <= y <= 2
400
What is the domain of the following? Think about what domain is...
{2, 3, 5, 7, 9}
500
Make up your own example of a table of values that is a function and another example that is not a function. Include at least 3 inputs and outputs each.
*answers vary*
500
Is the table linear? Explain.
Linear, because the constant rate is 2.
500
Identify the domain and range of the following graph.
Range: y=-2
Domain: -infinity < x < inifinity
500
What is the range of the following? Think about what range is...
{1, 3, 4, 5, 6}