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DOMAIN and RANGE

DOMAIN and RANGE. SOL 8.18 By Paul Jordan. Objective. Students will be able to use the terms: domain, range, independent and dependent variable appropriately. Definitions. Domain: Is the set of all first coordinates ( x -coordinates) from the ordered pairs.

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DOMAIN and RANGE

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  1. DOMAIN and RANGE SOL 8.18 By Paul Jordan

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

  3. 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.

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

  5. 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)} Domain:{3,-3,7,-8,0} Range:{7,-2,-5,-1}

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

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

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

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

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

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

  12. 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).

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