Warm-Up Exercises Warm-up: Countdown to Mastery Week #4 Homework- Page 44 #3-9 all #14-21 all.

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Presentation transcript:

Warm-Up Exercises Warm-up: Countdown to Mastery Week #4 Homework- Page 44 #3-9 all #14-21 all

Warm-Up Exercises Function- A pairing of inputs with outputs such that each input is paired with exactly one output. (the inputs can’t repeat) Domain- inputs or x values Range- outputs or y values

Warm-Up Exercises Identify the domain and range of a function EXAMPLE 1 The input-output table shows the cost of various amounts of regular unleaded gas from the same pump. Identify the domain and range of the function. ANSWER 19.99, 23.99, 25.99, and The domain is the set of inputs: 10, 12, 13, and 17. The range is the set of outputs: 10 Input gallons Output dollars

Warm-Up Exercises 2. Identify the domain and range of the function. Input 0124 Output 5221 domain: 0, 1, 2, and 4 range: 1, 2, and 5 ANSWER

Warm-Up Exercises Tell whether the pairing is a function. Identify a function EXAMPLE 3 The pairing is not a function because the input 0 is paired with both 2 and 3.

Warm-Up Exercises (0, 0) (1, 2) (4, 8) (6, 8) Identify a function EXAMPLE 4 Output Input The pairing is a function because each input is paired with exactly one output.

Warm-Up Exercises 5. Tell whether the pairing is a function. (3,1) (6, 2) (9,2) (12,1) 1221 Output Input ANSWER function

Warm-Up Exercises The range of the function is 0, 4, 10, 14, and 16. Make a table for a function EXAMPLE 6 The domain of the function y = 2x is 0, 2, 5, 7, and 8. Make a table for the function, then identify the range of the function. x y = 2x 2 2 = = = = = 0 SOLUTION

Warm-Up Exercises GUIDED PRACTICE 7. Make a table for the function y = x – 5 with domain 10, 12, 15, 18, and 29. Then identify the range of the function. range: 5, 7, 10, 13 and 24. ANSWER

Warm-Up Exercises Write a function rule EXAMPLE 8 Write a rule for the function. Input Output SOLUTION and let y or dependent variable. Notice that eachbe the output, Let x be the input, or independent variable, output is 2 more than the corresponding input. So, a rule for the function is y = x + 2.

Warm-Up Exercises GUIDED PRACTICE for Examples 3,4 and 5 9. Write a rule for the function. Identify the domain and the range. Pay (dollars) Time (hours) y = 8x ; domain: 1, 2, 3, and 4 ; range: 8, 16, 24, and 32. ANSWER

Warm-Up Exercises