Algebra Ch4 Functions Review 4.1-3 New 4.4-6. Write this down: Function – a relationship between variables in which each value of the input variable is.

Slides:

Advertisements

Similar presentations

I NTRODUCTION TO L INEAR F UNCTIONS. W HAT DID WE LEARN ABOUT FUNCTIONS ? We spent the last unit discussing functions. We found the independent variable,

Advertisements

2.3) Functions, Rules, Tables and Graphs

Vocabulary Chapter 4. In a relationship between variables, the variable that changes with respect to another variable is called the.

Ch 4.8 – Functions and Relations

Chapter 4.8: Determine if the Relation is a Function.

Advanced Algebra II Notes 4.2 Function Notation Relation: Any set of ordered pairs. Any relationship between two variables. Function: A relation in which.

Functional Relationships

2.3 Introduction to Functions

Equations of Linear Relationships

R Functions in one variable can be represented by a graph. R Each ordered pair (x, f(x)) that makes the equation true is a point on the graph. R Graph.

ALGEBRA 1 Lesson 5-4 Warm-Up. ALGEBRA 1 “Point-Slope Form and Writing Linear Equations” (5-4) (5-3) What is “point- slope form”? How can you use point-slope.

Objectives: Represent linear patterns with equations. Represent linear equations with graphs. Standards Addressed: G: Represent relationships with.

Notes 4.2– PATTERNS AND LINEAR FUNCTIONS

+ Represent Relations and Functions. + Relation A relation is a mapping, or pairing, of input values with output values. The set of input values in the.

Graphs We often use graphs to show how two variables are related. All these examples come straight from your book.

6.4 Point-Slope Form and Writing Linear Equations Point-Slope Form of a Linear Equation –The point-slope form of the equation of a nonvertical line that.

By: Jared Martin 6 th period. Real world problem  Josh got $ for his birthday, and he bought x pair of shoes with it.

4.2 Patterns and Linear Functions I can identify and represent patterns that describe linear functions.

4-2 Patterns and Functions. In a relationship between variables, the dependent variable changes in response to another variable, the independent variable.

4.2 Patterns and linear functions. Dependent variable It changes in response to another variable. It is also the “y” variable Independent variableThe.

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.

Algebra 2 Foundations, pg 64  Students will be able to graph relations and identify functions. Focus Question What are relations and when is a relation.

Chapter 2 Linear Equations and Functions. Sect. 2.1 Functions and their Graphs Relation – a mapping or pairing of input values with output values domain.

5-4 Point-Slope Form and Writing Linear Equations Hubarth Algebra.

Algebra 1 Section 5.6 Write linear equations in standard form Recall: Forms of linear equations Standard Slope-intercept Point-slope Graph 4x – 3y = 6.

Algebra 1 Section 4.2 Graph linear equation using tables The solution to an equation in two variables is a set of ordered pairs that makes it true. Is.

Graphing Linear Equations

Algebra 1 Section 6.5 Graph linear inequalities in two variables.

Functions 12-4 Warm Up Problem of the Day Lesson Presentation

Chapter Functions.

4.8 Functions and Relations

Algebra 1 Section 1.7 Identify functions and their parts

Relations and Functions Pages

3.2 Linear Functions.

2.1 – Represent Relations and Functions.

Section 3.5 Functions and Relations

3.2 Linear Functions.

Relations vs. Functions Function Notation, & Evaluation

Functions Introduction.

Function Notation “f of x” Input = x Output = f(x) = y.

Dependent and Independent Variables

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 –

Define evaluate and compare functions

An algebraic expression that defines a function is a function rule.

5-4 Point-Slope Form and Writing Linear Equations

5.2 Relations and Functions

Do Now: Make a K-W-L Chart Complete what you KNOW about functions

Warm Up 10/15/14 How much of a 25% solution would you need to mix with 20 ounces of a 46% solution to obtain a 32% solution? If Jack can fetch a pail.

(4)² 16 3(5) – 2 = 13 3(4) – (1)² 12 – ● (3) – 2 9 – 2 = 7

2-1 Relations and Functions

2.1: Relations and Functions

Objective- To use an equation to graph the

Midterm Review Algebra 2.

Warm Up What three terms come next? 1. 9, 12, 15, 18, . . .

Warm Up What three terms come next? 1. 9, 12, 15, 18, . . .

Objectives Compare linear, quadratic, and exponential models.

f(x) y x A function is a relation that gives a single

Differentiating between relations and functions

Objective- To graph a relationship in a table.

2.1 Represent Relations & Functions

Writing Rules for Linear Functions Pages

Introduction to Functions & Function Notation

4-2 Patterns and Functions

Ch. 4 Vocabulary continued (4-3)

Lesson 3.3 Writing functions.

Equations & Graphing Algebra 1, Unit 3, Lesson 5.

Presentation transcript:

Algebra Ch4 Functions Review New 4.4-6

Write this down: Function – a relationship between variables in which each value of the input variable is associated with a unique value of the output variable. Can be shown as graphs, tables, equations, or words, sets of ordered pairs.

Linear Functions Functions that can be defined by linear equations Linear equations are first-degree equations – no powers of 2 or greater. Slope-intercept form: y = mx + b Function notation: f(x) = mx + b Sample: when m = 2 and b = 3, f(x) = 2x + 3

f(x) = 2x + 3(x, f(x)) f(0) = 2(0) + 3 = = 3(0, 3) f(1) = 2(1) + 3 = = 5(1, 5) For each x value, there is only one f(x) value. Not a function: x = k because there is more than one value.If x = 3, then y can be any + or – value. A vertical line is not a function!

4.1 We have already used graphs to relate 2 quantities. Page 252/8,9, Patterns & Linear Functions. – A dependent variable changes in response to another variable, the independent variable. – Input – independent variable – Output – dependent variable – 257/problem 2. As the number of photos (independent variable) increases, the amount of memory (dependent variable)decreases.

4.3 Patterns & Nonlinear Functions See page 262.

Linear Function – its graph is a nonvertical line or part of a nonvertical line Nonlinear Function – its graph is not a line or part of a line

4.4: graphing of a function rule Continuous graph – unbroken Discrete graph – composed of distinct isolated points

Page 270. Problem 1

Page 271, problem 2

Page 272, problem 3

Assignment: 274/9-21, 38-54evens

Day2, 4.4, page 273, prob. 4 Graphing nonlinear function rules A. y = lXl – 4 B. y = x 2 + 1

273, problem 4 #4. Graph: y = x Assignment: 275/23-31, 39-53odd

Nov. 29 Assignment: 283/8-14,16-18