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This resource explores the concepts of rational numbers and functions through various examples. Learn how to identify rational numbers, determine function notation, and find function values. Engage in exercises to practice solving for domain and range, independent and dependent variables, and applying function rules in real-life scenarios. Perfect for students looking to strengthen their math skills and understanding of these key topics in algebra.
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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
