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Writing Functions

Writing Functions. Pg. 249 – 250 #13 – 43(odd). SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. Determine a relationship between the x - and y- values. Write an equation.

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Writing Functions

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  1. Writing Functions Pg. 249 – 250 #13 – 43(odd)

  2. SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. Determine a relationship between the x- and y-values. Write an equation.

  3. SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. Determine a relationship between the x- and y-values. Write an equation. {(1, 3), (2, 6), (3, 9), (4, 12)}

  4. SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. Using a Table to Write an Equation Determine a relationship between the x- and y-values. Write an equation. 5 10 15 20 1 3 2 4

  5. SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. Determine a relationship between the x- and y-values. Write an equation. {(1, 3), (2, 7), (3, 11), (4, 15)} x 4 1 2 3 y 3 7 11 15

  6. SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. The equation in Example 1 describes a function because for each x-value (input), there is only one y-value (output).

  7. SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. The inputof a function is the ____________ The output of a function is the ___________ The value of the dependent variable depends on, or is a function of, the value of the independent variable.

  8. SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. Helpful Hint There are several different ways to describe the variables of a function. Independent Variable Dependent Variable y-values x-values Domain Range Input Output x f(x)

  9. SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. Identifying Independent and Dependent Variables A painter must measure a room before deciding how much paint to buy. The amount of paintdependson the measurement of a room.

  10. SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. Identifying Independent and Dependent Variables The height of a candle decrease d centimeters for every hour it burns. The height of a candledepends on the number of hours it burns.

  11. SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. Identifying Independent and Dependent Variables A company charges $10 per hour to rent a jackhammer. The cost to rent a jackhammerdependson the length of time it is rented. Dependent variable: cost Independent variable: time

  12. SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. An algebraic expression that defines a function is a ___________. The dependent variableisa function ofthe independent variable. yisa function ofx. y=f(x) y = f(x)

  13. SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. Writing Functions Identify the independent and dependent variables. Write a rule in function notation for the situation. A math tutor charges $90 per hour.

  14. SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. Writing Functions Identify the independent and dependent variables. Write a rule in function notation for the situation. A fitness center charges a $100 initiation fee plus $40 per month.

  15. SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. Evaluating Functions Evaluate the function for the given input values. For f(x) = 3x + 2, find f(x) when x = 7 and when x = –4.

  16. SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. Evaluating Functions Evaluate the function for the given input values. For g(t) = 1.5t – 5, find g(t) when t = 6 and when t = –2.

  17. SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. For , find h(r) when r = 600 and when r = –12. Evaluating Functions Evaluate the function for the given input values.

  18. When a function describes a real-world situation, every real number is not always reasonable for the domain and range. For example, a number representing the length of an object cannot be negative, and only whole numbers can represent a number of people.

  19. SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. Finding the Reasonable Range and Domain of a Function Joe has enough money to buy 1, 2, or 3 DVDs at $15.00 each.

  20. SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. Substitute the domain values into the function rule to find the range values.

  21. SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. The settings on a space heater are the whole numbers from 0 to 3. The total of watts used for each setting is 500 times the setting number. Write a function rule to describe the number of watts used for each setting. Find a reasonable domain and range for the function.

  22. SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. Example 5 There are 4 possible settings 0, 1, 2, and 3, so a reasonable domain would be {0, 1, 2, 3}. Substitute these values into the function rule to find the range values.

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