What is the domain? What is the range? Lesson 6.3 Alg-1 1. What is a reasonable domain? 1. What is a reasonable domain? 1. What is a reasonable domain? 2. What is a reasonable range? 2. What is a reasonable range? 2. What is a reasonable range? Lesson 6.3 Alg-1

Lesson 6.3 Alg-1 Multiply the Fractions Multiply the Fractions Divide the Fractions Divide the Fractions Lesson 6.3 Alg-1

Homework Corrections Lesson 6.2 Worksheet all

Calendar Monday Tuesday Wednesday Thursday Friday 6.3 8.1 8.2 Unit 2 Assessment 1 Review Unit 2 Assessment 1 Test 9.1 9.2 9.3 10.1 End of Quarter Half day activities No School 10.2 10.4 11.1 11.2

Homework Lesson 6.3 Worksheet all Class Rules!!! No getting up without asking 2. No talking until activities 3. Take Notes! DO ALL EXAMPLES Raise your hand

Graphing Real World Situations Lesson 6.3

Objective I can determine a reasonable domain and range for a real world scenario

What have we learned so far… Below is the function 𝑓 𝑥 =2𝑥+3 What is the domain? 2. What is the range?

But in the real world… There are rarely negative values You don’t buy negative apples You don’t walk negative miles Rarely do your values go to infinity You don’t spend infinite dollars You don’t live infinite years

Real World Functions For most real world functions we will have restrictions on its domain and range Many times the data will be discrete Many times the data will only be positive

Real World Functions

Real World Functions What is a reasonable domain? Can you drive zero miles? Can you drive negative miles? Is there an upper or lower limit on the miles drive? Is the input continuous or discrete? 𝑎𝑙𝑙 𝑟𝑒𝑎𝑙 𝑣𝑎𝑙𝑢𝑒𝑠 𝑓𝑜𝑟 𝑥;𝑥≥0

Real World Functions What is a reasonable domain?

Real World Functions What is a reasonable range? What values for y will you get from the given domain? 𝑎𝑙𝑙 𝑟𝑒𝑎𝑙 𝑣𝑎𝑙𝑢𝑒𝑠 𝑓𝑜𝑟 𝑦;𝑥≥3

Real World Functions What is a reasonable range?

Let’s do one together…

Real World Functions What is a reasonable domain? Can you have zero guests? Can you have negative guests? Is there an upper or lower limit on the number of guests? Is the input continuous or discrete? 𝑎𝑙𝑙 𝑖𝑛𝑡𝑒𝑔𝑒𝑟𝑠 𝑓𝑜𝑟 𝑥;𝑥≥0 2. What is a reasonable range? What values for y will you get from the given domain? 100, 115, 130, 145, …

Real World Functions What is a reasonable domain? 2. What is a reasonable range?

Let’s do another!

Real World Functions What is a reasonable domain? Can you play for zero hours? Can you play for negative hours? Is there an upper or lower limit on the number of hours? Is the input continuous or discrete? 𝑎𝑙𝑙 𝑖𝑛𝑡𝑒𝑔𝑒𝑟𝑠 𝑓𝑜𝑟 𝑥;𝑥≥0 2. What is a reasonable range? What values for y will you get from the given domain? 5 15, 25, 35, …

Real World Functions What is a reasonable domain? 2. What is a reasonable range?

One last thing…

Real world graphs 𝑎𝑙𝑙 𝑖𝑛𝑡𝑒𝑔𝑒𝑟𝑠 𝑓𝑜𝑟 𝑥;0≤𝑥≤4 𝑎𝑙𝑙 𝑖𝑛𝑡𝑒𝑔𝑒𝑟𝑠 𝑓𝑜𝑟 𝑦;1≤𝑦≤9 What is a reasonable domain? Is the input continuous or discrete? Does the data continue? 𝑎𝑙𝑙 𝑖𝑛𝑡𝑒𝑔𝑒𝑟𝑠 𝑓𝑜𝑟 𝑥;0≤𝑥≤4 2. What is a reasonable range? Is the input continuous or discrete? Does the data continue? 𝑎𝑙𝑙 𝑖𝑛𝑡𝑒𝑔𝑒𝑟𝑠 𝑓𝑜𝑟 𝑦;1≤𝑦≤9

Real world graphs What is a reasonable domain? 2. What is a reasonable range?

Review I can determine a reasonable domain and range for a real world scenario

Lesson 6.3 Worksheet all Homework End of Class Rules!!! 1. Clean Up your Area Wait in your chairs 3. I dismiss not the bell 4. Push in your chairs 5. Keep it to a low roar