Domain and Range
Discrete vs. Continuous Domains
Linear Function Patterns
Function Notation
Comparing Linear and Nonlinear Relationships
100
Does the domain represent the x-values or the y-values?
x-values
100
If the domain involves people, is the domain discrete or continuous?
Discrete
100
What is the formula for the equation of a line?
y = mx+b
100
Evaluate the function when x = 1 f(x) = 3x + 7
f(x) = 10
100
The graph of a nonlinear function shows a constant rate of change. True or False?
False
200
Does the range represent the x-values or the y-values?
y-values
200
If the domain involves time, is the domain discrete or continuous?
Continuous
200
What does the m stand for in y = mx +b?
Slope
200
Evaluate the function when x = -1 and x = 2. f(x) = 2x - 5
f(x) = -7 when x = -1 f(x) = -1 when x = 2
200
What kind of rate of change does the graph of a linear function show?
Constant Rate of Change
300
What is the domain? x: -5, -4, -3, -2 y: -3, -1, 1, 3
-5, -4, -3, -2
300
What kind of line do we graph for a continuous function?
Full line
300
What does the b stand for in y = mx + b?
y-intercept
300
Evaluate the function when x = -1, 0, and 3. f(x) = 4x + 11
f(x) = 7 when x = -1 f(x) = 11 when x = 0 f(x) = 23 when x = 3
300
Create a table with the following values in this order. Does the table represent a linear or a nonlinear function? X: 1, 2, 3, 4 and Y: 1, 3, 5, 7
Linear Function
400
What is the range? (-3, 2), (-2, 4), (-1, 6), (0, 8), (1, 10)
2, 4, 6, 8, 10, 12, 14
400
What kind of line do we graph for a discrete function?
Dotted Line
400
Write the equation of the line given the following points: (0, 1), (1, 3), (2, 5), (3, 7)
y = 2x + 1
400
Find the value of x for which f(x) = 5. f(x) = 5x - 10
x = 3
400
Create a table with the following values in this order. Does the table represent a linear or a nonlinear function? X: 2, 4, 6, 8 and Y: 3, 6, 9, 12
Linear Function
500
Find the domain and range. (-1, 5), (0, 6), (1, 8), (2, 9), (3, 11)
Domain: -1, 0, 1, 2, 3 Range: 5, 6, 8, 9, 11
500
Give one example of a domain that would be continuous and one example of a domain that would be discrete.
Answers will vary.
500
Write the equation of the line given the following points: (-2, 4), (-1, 3), (0, 2), (1, 1), (2, 0)
y = -x + 2
500
Find the value of x for which f(x) = 7 f(x) =½x + 3
x = 8
500
Plot the points. Does the graph represent a linear or a nonlinear function? (-2, 4), (-1, 3), (0, 1), (1, 1), (2, 0)
Nonlinear Function
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