Do Now. You have 5 minutes.

1. Which of the following is a rational number? a. 3π b. 1.32… c. √44 d. 5 2. Jaselynrides her bike at a rate of 12 miles per hour. How far does she ride in 10 minutes? Do Now. You have 5 minutes.

1. Which relation is not a function? A. {(2, 3), (4, 5), (6, 7), (8, 9)} B. {(1, -5), (2, -5), (3, -5), (4, -5)} C. {(-4, -4), (-3, -2), (-2, -1), (-1, 0)} D. {(6, 4), (7, 5), (8, 6), (8, 7)} 2. Given the relation R = {(-1, 3), (a, 4), (1, 2), (2, 4)}. Which replacement for a makes this relation a function? a. -1 b. 3 c. 1 d. 2 Do Now. You have 5 minutes.

SWBAT identify and use function notation. We are what we repeatedly do. Excellence, therefore, is not an act but a habit.Aristotle Today’s objective

f(x) = 2x - 1 y = 2x – 1 f(3) = 2x-1 solve for y = 2x -1 when x = 3 Introduction: What is Function Notation?

Group A wrote the function f(x) = 4x + 2 to represent the breaking weight of a bridge with t layers of paper. f(x) = 4x + 2 What is f(3)? What does it represent? Example 1

f(x) = 2(x – 8) and h(t) = 5 + t Find f(3) 2) Find h(10) Which value is the input? Which value is the output? Example 2

Example: At a certain market, oranges cost $.90 each. Make a table to show the cost of 1, 2, 3, 4 and 5 oranges. What is the domain of the table? What is the range? What is the independent variable? What is the dependent variable? Is this a function? Write an equation for the cost of any number of oranges using function notation. Example 3

1. If f(x) = 3x, find f(4) 2. s(2) if s(t) = 4 + t. Which value is the input? Which value is the output? 3. h(4) if h(t) = 5t + 2 You Try

Textbook pg. 303: 8-19 Homework: worksheet Independent practice

Find the following function values: 1. f(8) if f(x) = 2x + 3 2. f(7) if f(x) = 4x – 5 3. In question 2, which value is the input and which value is the output? EXIT Ticket

1. Choose 4 values for x to make a function table for f(x) = 3x + 4. 2. Now, state the domain and range of the function 3. Identify the independent and dependent variables EXAMPLE 3

1. If f(x) = 3x, find f(4) 2. If s(t) = 4 + t, Find s(2) 3. Choose four values for x to make a function table for f(x) = 4x – 1. Then state the domain and range of the function. Identify the independent and dependent variables. You Try

Giselle is going to rent a scooter for at least one hour. The fee is $45 plus $5 for each hour it is rented. Write a function rule (in function notation form) to describe the total cost of renting a scooter. Find the number of hours Giselle rented the scooter if the total cost was $65. Example 4

Handout For gold round: Textbook: p. 303: 8-19 HOMEWORK: p. 90: 1-6 Independent practice

1. Choose four values for x to make a function table for f(x) = x + 5. Then state the domain and range of the function. 2. Find the function value of f(8) if f(x) = 5x BONUS: A dance studio charges an initial fee of $75 plus $8 per lesson. Write a function to represent the cost c(l) for l lessons. EXIT TICKET

Do Now. You have 5 minutes.