2. DOMAIN and RANGE SOL 8.18 By Paul Jordan

3. Objective Students will be able to use the terms: domain, range, independent and dependent variable appropriately.

4. Definitions Domain: Is the set of all first coordinates (x-coordinates) from the ordered pairs. Range: Is the set of all second coordinates (y-coordinates) from the ordered pairs.

5. Domain: {2,-1,0} Range:{3,0,-5,-3} If a number occurs more than once, you do not need to list it more than one time. Find the Domain and Range. Given the set of ordered pairs, {(2,3),(-1,0),(2,-5),(0,-3)}

6. Domain:{3,-3,7,-8,0} Range:{7,-2,-5,-1} Try It. 1 Find the domain and range of the following set of ordered pairs. {(3,7),(-3,7),(7,-2),(-8,-5),(0,-1)}

7. y = 4x Input (x)Output (y) 5 7 9 11 20 28 36 44 Plug into the equation to find output. Complete the input/output table. 4(5) 4(7) 4(9) 4(11)

8. y = 20 - 5x5x Input (x)Output (y) 0 1 10 5 20 15 2 3 Try It. 2 Complete the input/output table.

9. Time for some definitions. Independent variable: the input (x) variable Dependent variable: the output (y) variable. Random variable: the value depends on other variables.

10. Example: Martha bought several tuna fish at $2 each. Find the total cost. 1)What does the total cost depend on? 2)What is the independent variable? 3)What is the dependent variable? the number of fish Martha bought x = number of fish bought Try It. 3 y = total cost

11. Try These on Your Own. Identify the domain and range of the following sets. A.{(-1,3), (0,-1), (5,3), (5,0), (6,3)} B.{(0,0), (3,0), (-5,0)}

12. Input (x)Output (y) 12 21 135 57 3 6 18 408 Complete the Table. 3)

13. Independent and Dependent Variables 4) You can make an amount of money (m) washing cars at $4 per car washed (c). 5) On a car trip, Ian averages 50 mph. The distance he covers (output) is a function of time (input).