Writing Functions Pg 249 250 13 43odd SWBAT

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.

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)}

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. x 5 y 1 10 15 20 2 3 4

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 1 2 3 y 3 7 11 15 4

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).

SWBAT: Identify independent and dependent variables. Write an equation in function notation and evaluate a function for given input values. The input of 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.

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 x-values Dependent Variable y-values Domain Range Input Output x f(x)

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 paint depends on the measurement of a room.

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 candle depends on the number of hours it burns.

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 jackhammer depends on the length of time it is rented. Dependent variable: cost Independent variable: time

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 variable is a function of the independent variable. y is y = a function of f y = f(x) x. (x)

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.

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.

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) = 3 x + 2, find f(x) when x = 7 and when x = – 4.

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. 5 t – 5, find g(t) when t = 6 and when t = – 2.

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 , find h(r) when r = 600 and when r = – 12.

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.

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.

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.

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.

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.