Sponge: Sponge:

Nancy started a delivery service. She charges $8 Nancy started a delivery service. She charges $8 per order plus $0.15 per mile to deliver. How per order plus $0.15 per mile to deliver. How much will she charge for delivering 12 miles much will she charge for delivering 12 miles away?away?

A.A.$9.80 C. $8.30$9.80 C. $8.30

B.B.$9.30 D. $8.15$9.30 D. $8.15

Thursday, January 22, 2009Thursday, January 22, 2009Standards: Standards: M8A3c. M8A3c. Distinguish between relations that are functions and those that Distinguish between relations that are functions and those that are not functions. are not functions.

Function FactsFunction Facts• Definition: A relation in which each first value

(x) is paired with one and ONLY one second value (y).

•X value cannot be repeated in a table, mapping, or set of ordered pairs.

•Must pass the Vertical Line Test when graphed.Crosses at ONLY one Point each time.

m c

1 8.15

2 8.30

3 8.45

4 8.60

m c

123

8.158.458.30

Equation Mapping

Table

Ordered Pairs

m c

1 8.15

2 8.30

3 8.45

4 8.60

m c

123

8.158.458.30

Equation Mapping

Table

Ordered Pairs

m c

1 8.15

2 8.30

3 8.45

4 8.60

m c

123

8.158.458.30

Equation Mapping

Table

Ordered Pairs

m c

1 8.15

2 8.30

3 8.45

4 8.60

m c

123

8.158.458.30

Equation Mapping

Table

Ordered Pairs

Is this a function?

Question 1: Is the graph shown below that of a function?

Is this a function?

Y = x + 6

Is this a function?x y

780-7-8

04964

Is this a function?

• (0, 3)

• (1, 8)

• (4, 8)

• (6, 3)

Is this a function?

x y

2 6

3 9

2 5

3 6

Work PeriodWork Period

• Each group has 6 Each group has 6 examples.examples.

• Make a two column Make a two column table on your table on your construction paper. construction paper.

• Label the columns as Label the columns as Is a Function and Is Is a Function and Is Not a FunctionNot a Function.

• Organize your Organize your examples and glue examples and glue them on the them on the construction paper.construction paper.

• Using the index cards Using the index cards explain why or why explain why or why not. Post it on your not. Post it on your construction paper.construction paper.