Graphs and Functions

Relations and Functions

100

What is the domain of the relation: {(4, 6), (6, 7), (4, 3), (5, 19), (5, 7)}?

{4, 5, 6}?

200

What is the range of the relation: {(4, 6), (6, 7), (4, 3), (5, 19), (5, 7)}?

{3, 6, 7, 19}?

300

True or False: This relation is a function: {(2, 5), (3, -5), (4, 5), (5, -5)}

True

400

Evaluate the function for x = -3. y = x to the second power.

9

Function Rules, Tables, and Graphs

100

The function rule: y = -3x Use these values of x to find y: -2, -1, 0, 1, 2

(-2, 6) (-1, 3) (0, 0) (1, -3) (2, -6)

200

The function rule: y = -3x + 1 Use these values of x to find y: -2, -1, 0, 1, 2 

(-2, 7), (-1, 4), (0, 1), (1, -2), (2, -5)

300

The function rule: y = 8 - x Use these values of x to find y: -2, -1, 0, 1, 2 

(-2, 10), (-1, 9), (0, 8), (1, 7), (2, 6)

400

The function rule: y = 1/4x Use these values of x to find y: -2, -1, 0, 1, 2 

(-2, -1/2), (-1, -1/4), (0, 0), (1, 1/4), (2, 1/2)

500

The function rule: y = 5 + 4x Use these values of x to find y: -2, -1, 0, 1, 2

(-2, -3), (-1, 1), (0, 5), (1, 9), (2, 13)

Writing a Function Rule

100

What is the function rule for the table: -8 64 -4 16 0 0 4 16 8 64?

y= x²

200

-2 -8 -1 -4 0 0 1 4 What is the function rule for the table?

y = 4x.

300

2, 5, 10, 17, 26,...  What is the function rule?

y = x² + 1

400

What is the total cost t(c) of c ounces of cinnamon if each ounce costs $.79?

t(c) = 0.79c

500

What is the area A(n) of a square when you know the length n of a side?

A(n) = n² 

Direct Variation

100

What is the constant of variation for y = 4x?

4

200

This is an equation of the direct variation that includes this point: (3, -4)

y = -4/3x

300

True or False? -x = 10y is of direct variation.

True

400

True of False? Is this equation a direct variation? y + 8 = -x

NO

500

True of False? This equation is of direct variation: 0.7x - 1.4y = 0 If so, what is the constant of variation.

Yes and 0.5

Describing Number Patterns

100

What is the common difference of this arithmetic sequence: -9, -4, 1, 6, ...?

5

200

What is the inductive reasoning that describes the pattern and the next number in the pattern: 1.1, 2.2, 3.3, 4.4...?

Add 1.1 to the previous term and 5.5

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

What is the third term of the sequece: A(n) = 8 + (n-1)9?

26

500

What is the ninth term of the sequence: A(n) = 0.2 + (n - 1)(-1)?

-7.8