Do Now

• Complete the Do Now you picked up on your way in.

• Make sure you pick up your own calculator.

Quiz Friday

• Solving Equations• Domain and Range (Today & Tomorrow)• Inverse Functions (Thursday)• Vocabulary (all Unit 1)

Domain and Range

1.8

Today’s Objective

• SWBAT find the domain and range of functions given the graph.

VocabularyWord Definition ExampleDomain The set of all possible

inputs (x values)Range The set of all possible

outputs (y values)

VocabularyWord Definition ExampleAbsolute Minimum (Min)

The lowest point possible for a function.

Absolute Maximum (Max)

The highest point possible for a function

Key Points• “All possible” includes any possible number

that is outside of the coordinate plane we see• Minimums and maximums tell us where the

range starts from/ends– No part of the graph can ever go below/above the

min/max.

Key Points• Domain: look left to right• Range: look bottom to top• When the arrows go in both directions we say

the domain/range is all real numbers

Inequality Symbols Reminder

Picking Out Mins/Maxs

• Max: think hill

Picking Out Mins/Maxs

• Min: think valley

Picking Out Mins/Maxs• Neither: could have both hills and valleys or

neither. Goes above/below hills/valleys.

Minimum Maximum or Neither

• If there is a minimum, thumbs down.

• If there is a maximum, thumbs up.

• If there is neither, closed fist.

Minimum Maximum or Neither

Minimum Maximum or Neither

Minimum Maximum or Neither

Minimum Maximum or Neither

Minimum Maximum or Neither

Minimum Maximum or Neither

Minimum Maximum or Neither

Minimum Maximum or Neither

Writing the Domain and Range

1. Min/Max/Neither?2. Arrows left/right?

1. Write the domain.

3. Arrows up/down?1. Write the range.

Writing the Domain and Range

1. Min/Max/Neither?2. Arrows left/right?

1. Write the domain.

3. Arrows up/down?1. Write the range.

Writing the Domain and Range

1. Min/Max/Neither?2. Arrows left/right?

1. Write the domain.

3. Arrows up/down?1. Write the range.

What are the Domain and Range?Min/Max:D:R:

What are the Domain and Range?Min/Max:D:R:

What are the Domain and Range?Min/Max:D:R:

What are the Domain and Range?Min/Max:D:R:

What are the Domain and Range?Min/Max:D:R:

Practice Time

• Your notes has many practice problems to work through.

• Make sure you find the min/max (if there is one); then write the domain and range.

• You will have _____ minutes to work on the independent practice.

• You may work on a quiet code yellow with your partner.

Practice Time Code Yellow

• Code yellow during practice time means you are talking about the work in front of you only.

• Discuss different problems and help each.• Make sure you both understand. If you do not,

raise your hand for some help.

Exit Ticket

• Exit tickets are to be completed INDEPENDENTLY and on CODE RED.

• As a reminder, Exit Tickets are 10% of your final grade – they can really help your grade out a lot!

Homework

• Make sure to use PENCIL.• Homework is due tomorrow.• Use your notes to help you!