Relations and Functions
Function Rules, Tables, and Graphs
Writing a Function Rule
Direct Variation
Describing Number Patterns
100
This is the domain of the relation: {(4, 6), (6, 7), (4, 3), (5, 19), (5, 7)}
What is {4, 5, 6}?
100
The function rule: y = -3x Use these values of x to find y: -2, -1, 0, 1, 2 This is the table:
What is (-2, 6) (-1, 3) (0, 0) (1, -3) (2, -6)?
100
This is the function rule for the table: -8 64 -4 16 0 0 4 16 8 64
What is y= x to the second power?
100
This is the constant of variation for y = 4x.
What is 4?
100
This is the common difference of this arithmetic sequence: -9, -4, 1, 6, ...
What is 5?
200
This is the range of the relation: {(4, 6), (6, 7), (4, 3), (5, 19), (5, 7)}
What is {3, 6, 7, 19}?
200
The function rule: y = -3x + 1 Use these values of x to find y: -2, -1, 0, 1, 2 This is the table:
What is (-2, 7), (-1, 4), (0, 1), (1, -2), (2, -5)?
200
-2 -8 -1 -4 0 0 1 4 This is the function rule for the table.
What is y = 4x.
200
This is an equation of the direct variation that includes this point: (3, -4)
What is y = -4/3x?
200
This is the inductive reasoning that describes the pattern and the next number in the pattern: 1.1, 2.2, 3.3, 4.4...
What is add 1.1 to the previous term and 5.5?
300
True or False: This relation is a function: {(2, 5), (3, -5), (4, 5), (5, -5)}
What is true?
300
The function rule: y = 8 - x Use these values of x to find y: -2, -1, 0, 1, 2 This is the table:
What is (-2, 10), (-1, 9), (0, 8), (1, 7), (2, 6)?
300
1 3 2 6 3 9 4 12 This is the function rule.
What is y = 3x?
300
True or False? -x = 10y is of direct variation.
What is True?
300
This is the inductive reasoning and next number in the pattern of this pattern: 9,-5, -19, -33,...
What is add -14 to or subtract 14 from the previous term and -47?
400
Evaluate the function for x = -3. y = x to the second power.
What is 9?
400
The function rule: y = 1/4x Use these values of x to find y: -2, -1, 0, 1, 2 This is the table:
What is (-2, -1/2), (-1, -1/4), (0, 0), (1, 1/4), (2, 1/2)?
400
the total cost t(c) of c ounces of cinnamon if each ounce costs $.79.
What is t(c) = .79c
400
True of False? This equation is of direct variation? y + 8 = -x
What is No?
400
This is the third term of the sequece: A(n) = 8 + (n-1)9
What is 26?
500
The function rule: y = 5 + 4x Use these values of x to find y: -2, -1, 0, 1, 2 This is the table:
What is (-2, -3), (-1, 1), (0, 5), (1, 9), (2, 13)?
500
the area A(n) of a square when you know the length n of a side
What is A(n) = n to the second power?
500
True of False? This equation is of direct variation: 0.7x - 1.4y = 0 If so, this is the constant of variation.
What is yes and 0.5?
500
This is the ninth term of the sequence: A(n) = 0.2 + (n - 1)(-1)
What is -7.8?
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