TODAY IN ALGEBRA 1…

Warm Up: Writing expressions

Learning Goal: 1.6 You will represent functions as rules and as tables

Independent Practice – NO A.T.

WARM UP: Write an expression for each of the phrases. 4 times the difference of 6 and a number y

1. 4 times the difference of 6 and a number y

2. 8 times the quantity 4 plus a number n

CHALLENGE PROBLEMS: Work in groups of 3-4 to work on the following two problems. Each group will be required to turn in a solutions before the end of class.

DEFINING PARTS OF A FUNCTION:

Copy the following important VOCABULARY into your notebooks:

FUNCTION:

INPUT:

OUTPUT:

One input has exactly one output.

(x), DOMAIN, independent variable

(y), RANGE, dependent variable

EXAMPLE 1: Identify the DOMAIN and RANGE of the table.

INPUT (x) 0 1 2 4OUTPUT (y) 5 2 7 8

DOMAIN

RANGE

EXAMPLE 2: Identify the DOMAIN and RANGE of the table.

INPUT

05

1015

OUTPUT

234

DOMAINRANGE

*Notice!!! One OUTPUT can be paired with more than one INPUT.

BUT one INPUT cannot be paired with more than one OUTPUT.

PRACTICE: Tell whether each pairing is a function.

a. b. INPUT

0

5

10

OUTPUT

2345

INPUT OUTPUT0 01 24 86 12

NOT A FUNCTION

One input is paired with more than one output.

FUNCTION

One input is paired with one output.

EXAMPLE 3: The domain of the function is 0, 2, 5, 7, and 8. Make a table for the function, then identify the range of the function.

INPUT

OUTPUT

0 25 7 82(𝟎) 2(𝟐) 2(𝟓) 2(𝟕) 2(𝟖)

0 4 10 14 16

DOMAIN

RANGE

EXAMPLE 4: The domain of the function is 10, 12, 15 and 18. Make a table for the function, then identify the range of the function.

INPUT

OUTPUT

10 12 15 18(𝟏𝟎 )−5(𝟏𝟐 )−5(𝟏𝟓 )−5(𝟏𝟖 )−55 7 10 13

DOMAIN

RANGE

EXAMPLE 5: Write a rule for the function.

INPUT

OUTPUT

0 14 6 102 3 6 812

13 2 4

13 2 4SLOPE:

Y-intercept:

RULE: or

PRACTICE: Write a rule for the function.

TIME (hours)

PAY (dollars)

0 123 40 8 16 2432

1111

8 8 8 8SLOPE:

Y-intercept:

RULE: or

HOMEWORK #5:

Pg. 38: 1-8, 12-14, 17, 25

REMINDER: turn in your Student Acknowledgment and Agreement Form!

If finished, work on other assignments:

HW #1: Pg. 5: 3-12, 15-28, 34HW #2: Pg. 10: 3-6, 11, 14, 15, 18, 22-26HW #3: Pg. 18: 3-12, 15-21HW #4: Pg. 24: 3-8, 12-28