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## Notes Over 4.8

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**Notes Over 4.8**• 1 • 3 • 5 • 8 7 Identifying Functions Function A relation where each input has exactly one output. Decide whether the relation is a function. If it is a function, give the domain and the range. 1. Input Output Not a function, because 4 goes to both 3 and 5**Notes Over 4.8**1 1 2 4 3 9 4 16 Identifying Functions Function A relation where each input has exactly one output. Decide whether the relation is a function. If it is a function, give the domain and the range. 2. Input Output Domain: the input Range: the output 1, 2, 3, 4 1, 4, 9, 16 A function, because every input goes to only one output**Notes Over 4.8**Domain: the input Range: the output 1 2 4 3 6 4 8 Identifying Functions Function A relation where each input has exactly one output. Decide whether the relation is a function. If it is a function, give the domain and the range. 3. Input Output 1, 2, 3, 4 4, 6, 8 A function, because every input goes to only one output**Notes Over 4.8**Identifying Functions Function Notation The equation y = 3x – 4 becomes f(x) = 3x – 4, where the solution (x, y) becomes (x, f(x)). Evaluate the function when x =3, x = 0, x = - 2.**Notes Over 4.8**Identifying Functions Function Notation The equation y = 3x – 4 becomes f(x) = 3x – 4, where the solution (x, y) becomes (x, f(x)). Evaluate the function when x =3, x = 0, x = - 2.**Notes Over 4.8**Identifying Functions Function Notation The equation y = 3x – 4 becomes f(x) = 3x – 4, where the solution (x, y) becomes (x, f(x)). Evaluate the function when x =3, x = 0, x = - 2.**Notes Over 4.8**Writing and Using a Linear Function 7. While on vacation, your family traveled 2040 miles in 6 days. Your average speed was miles per day. 340 a. Write a linear function that models the distance that your family traveled each day. Verbal Model Distance traveled Average speed Time Labels: Distance traveled = f ( t ) Average speed = 340 miles per day Time = t days**Notes Over 4.8**Writing and Using a Linear Function 7. While on vacation, your family traveled 2040 miles in 6 days. Your average speed was 340 miles per day. b. Use the model to find the distance traveled after 1.5 days of travel.**Notes Over 4.8**Verbal Model Distance traveled Average speed Time Labels: Distance traveled = f ( t ) Average speed = 380 miles per day Time = t days Writing and Using a Linear Function 7. While on vacation, your family traveled 2660 miles in 7 days. Your average speed was miles per day. 380 a. Write a linear function that models the distance that your family traveled each day.**Notes Over 4.8**Writing and Using a Linear Function 7. While on vacation, your family traveled 2660 miles in 7 days. Your average speed was 380 miles per day. b. Use the model to find the distance traveled after 1.5 days of travel.