PRE Lesson 2.1 What is a Function? Objectives: To review domain. To understand function notation. To understand how to evaluate functions and piecewise.

Slides:

Advertisements

Similar presentations

2.5 Piecewise- defined Functions

Advertisements

1. 2. Warm-Up Domain Range INQ:______________ INT:______________

1-4 Extrema and Average Rates of Change

Lesson 5.2 (PART 2) FUNCTION NOTATION.

Identifying functions and using function notation

Lesson 4 – 3 Function Rules, Tables and Graphs

RELATION … any set of points RELATION … any set of points { (3,6), (-4,5), (0,2) }

9/8/ Relations and Functions Unit 3-3 Sec. 3.1.

Lesson 24 Aim: What is a ratio and how do we find the unit rate?

Bell Problem Simplify 13, Use Properties of Exponents Standards: 1.Understand ways of representing numbers 2. Understand how operations are.

Algebra II.  To find slope of a line given two points  To find parallel & perpendicular slope to a line.

Functions MATH Precalculus S. Rook. Overview Section 1.4 in the textbook: – Relations & Functions – Functional notation – Identifying functions.

CLASS OPENER: You have 5 minutes to come up with the largest prime number you possible can.

Lesson 3.1 Objective: SSBAT define and evaluate functions.

SECT. 1.1 – DAY 2. WARM UP OBJECTIVES *Identify functions and use function notation. *Find domain and range of functions.

Functions Relation such that each element x in a set A maps to EXACTLY ONE element y in a set B  Set A: Domain = set of all numbers for which the formula.

Bellwork: Graph each line: 1. 3x – y = 6 2. Y = -1/2 x + 3 Y = -2

 One quantity depends on another quantity  # of shirts -> revenue  Age -> Height  Time of day -> Temperature 3.1 Function.

2.6 – Special Functions Math 2 Honors - Santowski.

2.3 Introduction to Functions

2.3 Introduction to Functions

1.2: Functions and Graphs. Relation- for each x value, there can be any y-values. Doesn’t pass the VLT. (ex. (1,2), (2,4), (1,-3) Function- For each x-value,

CLASS OPENER Pg. 11 – 13 #10, 55, 72. CLASS OPENER: You have 5 minutes to come up with the largest prime number you possible can.

Section 1.2 Functions Copyright © Houghton Mifflin Company. All rights reserved. Digital Figures, 1–1 Section Objectives: Students will know how to evaluate.

1.2 Represent Functions as Rules and Tables EQ: How do I represent functions as rules and tables??

WARM UP. LESSON 9: EVALUATING AND COMPARING ALGEBRAIC EXPRESSIONS Expressions and Equations.

Lesson 4 Aim: What number sets make up the set of real numbers?

Free Phone $25 a month 100 minutes then 35c per min Free Phone $25 a month 100 minutes then 35c per min Free Phone $20 a month 75 minutes then 25c per.

4-3 Writing Functions.

Advanced Algebra w/Trig

Chapter 2 – Linear Equations and Functions 2.2 – Linear Functions and Function Notation.

Lesson 23 Aim: How do we solve equations with variables on both sides?

: 1. ANSWER 1 16 ANSWER 1 25 Evaluate the Expressions: ANSWER 6 4.

ANSWERS a Warm-Ups are 6.2: mi b. 238,900 mi Classwork: Book: pg.487; all.

Unit 4 Review. Write an inequality to represent it being colder than 5° Then create a number line to represent that inequality.

I CAN DETERMINE WHETHER A RELATION IS A FUNCTION AND I CAN FIND DOMAIN AND RANGE AND USE FUNCTION NOTATION. 4.6 Formalizing Relations and Functions.

5.2 Relations and Functions. Identifying Relations and Functions Relation: A set of ordered pairs. You can list the set of ordered pairs in a relation.

Section 2.2 Graphs of Functions Objectives: Review Domain Find Domain from a graph. Graph piecewise functions.

Functions. Function Notation f(x) is a fancy way of saying ____. Why use function notation?

Warm-Up 3.2 f(x) = -4x 2 – 5 Find each of the following. 1.f(9) – f(3) 2. 8f(5) f(9) = -329f(5) = -105 f(3) = -418 · -105 = -840 f(9) – f(3) = -288.

Unit 1: Functions Minds On. Unit 1: Functions Lesson 5: Inverse Functions Example: Find the inverse of f(x) = (x – 3)

HPC 2.1 – Functions Learning Targets: -Determine whether a relation represents a function. -Find the value of a function. -Find the domain of a function.

 This Lesson has two parts. Algebra II  To find slope of a line given two points  To find parallel & perpendicular slope to a line.

ANSWERS. Using Trig in every day life. Check Homework.

Identifying functions and using function notation

Functions and Their Graphs

Lesson 15 Aim: How can we use the distributive property to simplify algebraic expressions?

Math 160 Packet #1 Functions.

4-6 Formulizing Relations and Functions

Express the following rule in function notation: “subtract 4, then divide by 5”. Select the correct answer: {image}

1-1 RELATIONS & FUNCTIONS

3-3 Writing Functions Warm Up Lesson Presentation Lesson Quiz

It’s a beautiful day, don’t let it get away.

Graphing and Evaluating The Piecewise Function A Series of Examples

Warm Up Given y = –x² – x + 2 and the x-value, find the y-value in each… 1. x = –3, y = ____ 2. x = 0, y = ____ 3. x = 1, y = ____ –4 – −3 2 –

Relations and Functions

5.2 Relations and Functions

Warm up Tell whether the relation is a function.

Warm Up Find each square root Solve each inequality.

2-1 Relations and Functions

Warm up Tell whether the relation is a function.

Compute with Scientific Numbers

Unit 3 Functions.

Functions Make a statement about functions. What do you notice about all 4 graphs?

Introduction to Functions & Function Notation

Warm up Tell whether the relation is a function.

Functions and Relations

Functions: Building Blocks of Mathematical Models

Presentation transcript:

PRE Lesson 2.1 What is a Function? Objectives: To review domain. To understand function notation. To understand how to evaluate functions and piecewise functions. To understand the difference quotient.

1. 2. ANSWERS State the domain 3. Simplify

Check Homework

Quiz Time

DOMAIN (RECALL) domain of a function is the values of the independent variables.

FUNCTION F(X) = Y A function is a relationship between two variables such that each value of the first variable is paired with exactly one value of the second variable.

Evaluate: a)f(3) b)f(-2) c)f( )

PIECEWISE FUNCTION A piecewise function is defined by different formulas on different parts of the domain.

Ex 2. A cell phone plan costs $39 a month. The plan includes 400 free minutes and charges 20¢ for each additional minute. The monthly charges are a function of the number of minutes used, given by Find C(100), C(400), and C(480)

a) f(-5) b) f(3) c) f(0) d) f(1)

Ex 4. Evaluate f(x) = 3x – 1 at the following values. a) f(a) b) f(a + h) c)

Classwork: Book: pg.155, 14,24,34,44,54,66