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DATE : September, 33

ESSENTIAL QUESTION: How are the domain and range of an

equation different than the domain and range of a function?

AGENDA:

1. Warm up

2. Guided practice

3. Independent practice

Homework: Finish this worksheet and turn in on Friday 9/29

Mastery Test I on solving multi-step equations RETAKE on 9/28

Thursday early release day!

1) Clear your desk except for paper/pencil

2) Copy the DATE and TOPIC

In ordered pairs:

1. {(3, 2), (-1, 4), (0, 3), (-3, 5), (-2, -2)}

2. {(3, 6), (5, 7), (7, 7) (8, 9)}

Domain: Range:

Domain and Range

{3, -1, 0, -2, -3} {2, 4, 3, 5, -2}

Is the relation a function? Why or why not?


Domain: Domain:

Range: Range:

3. 4.

{6, 2, 1, 0}

{3, 4, 5}


5. 6.

{3, -4, 7, 1}

{-5, 3, -2}

Domain: Domain:

Range: Range:


7. 8.

{-2, 1, 2, 3}Domain: Domain:

Range: Range:{-2, 0, 1, 2, 4}


In equations or functions:

1. With fractions, the domain is limited by the

denominator which cannot equal 0.

2.

5 + x ≠ 0

xy

5

7Domain:

Range: All R

All real numbers (R) except -5

x ≠ -5

In 𝑓 𝑥 =12

𝑥 −3, where x ≠ 3

Why must the domain be specified?

If it is not specified it will not be a function

Domain: Range:

In word problems: The situation determines the

domain and the range. Find reasonable domain

and range for each of the functions.

1. The function f(x) = 175 + x represents the

amount of money in a savings account that

started with $175 after a deposit of x dollars.

What are a reasonable domain and range of

the function?

Whole numbers

where x > 0

Whole numbers

where f(x) > 175

Domain: Range:

2. Elaine is in the business of repairing home

computers. She charges a base fee of $50 for

each visit and $25 per hour for her labor. The

total cost c(x) for a home visit and x hours of

labor is modeled by the function rule:

c(x) = 50 + 25x.

All whole numbers,

where x > 0All multiples of 25,

where x > 50

Domain: Range:

3. The function f(x) = 10 – x represents the

amount of change you receive after paying for

an item that costs x dollars with a $10 bill

0 < x < 10 0 < x < 10

Domain: Range:


amount of change you receive after paying for

an item that costs x dollars with a $20 bill.

Domain: Domain:

Range: Range:

all real numbers

y < 2

1. 2.


In graphs: The graph determines the domain and range.

Domain: Domain:

Range: Range:

0 < x < 4

2 < y < 5

3. 4.


Domain: Domain:

Range: Range:

x > 0

all R

6.


5.

1. Choose 3 values for x. Substitute into equation to find its output.

Graph ordered pairs, draw line and fill in the missing information.

x-intercept:

y-intercept:

Rate of change:

Increasing or decreasing:

End behaviors:

(2, 0)

(0, -4)

2

increasing

As x approaches -∞, y approaches -∞;

As x approaches ∞, y approaches ∞

y = 2x – 4

y = 2(-1) – 4

y = 2(0) – 4

y = 2(2) – 4

(-1,-6)

(0, -4)

(2, 0)

Graphing functions

x y

-1 -6

0 -4

2 0

2. y = -2

3𝑥 + 2

x-intercept:

y-intercept:

Rate of change:

Increasing or decreasing:

End behaviors:

(3, 0)

(0, 2)

-2/3

decreasing

As x approaches -∞, y approaches ∞;

As x approaches ∞, y approaches -∞

y = -2

3(3) + 2

y = -2

3(0) + 2

y = -2

3(−3) + 2

(3, 0)

(0, 2)

(-3, 4)

2.Elaine is in the business of repairing

home computers. She charges a

base fee of $50 for each visit and

$25 per hour for her labor. The total

cost c(x) for a home visit and x

hours of labor is modeled by the

function rule:

c(x) = 50 + 25x.

Domain: Range:

3.The function f(x) = 10 – x represents

the amount of change you receive

after paying for an item that costs x

dollars with a $10 bill

Domain: Range:


amount of change you receive after

paying for an item that costs x dollars

with a $20 bill.

Domain: Range:

Documents

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