Relations, Functions, and Linear Equations

Slides:



Advertisements
Similar presentations
Objective - To graph linear equations using the slope and y-intercept.
Advertisements

Basic Functions and Their Graphs
Finding Limits Using Tables and Graphs Sections 11.1.
Inverse Functions Section 1.8.
Sullivan Algebra & Trigonometry: Section 3.2 The Graph of a Function Objectives Identify the Graph of a Function Obtain Information from or about the Graph.
Section 1.2 Basics of Functions
Bellwork.
Advanced Algebra Notes
Section 2.2 Functions  Functions & Graphs  Function Notation & Equations  Applications: Interpolation & Extrapolation 12.2.
Algebra 3 Section 2.3 The Graph of a Function Objectives Identify the Graph of a Function Identify the Graph of a Function Obtain Information from or about.
Advanced Algebra II Notes 4.2 Function Notation Relation: Any set of ordered pairs. Any relationship between two variables. Function: A relation in which.
Find the x and y-intercepts from the graph. Find the intercepts and state domain and range.
Bellwork: Graph each line: 1. 3x – y = 6 2. Y = -1/2 x + 3 Y = -2
2.3 Introduction to Functions
Graphing Test Review Algebra. Express the relation as a set of ordered pairs and the inverse. xy
One to One Functions A function is one to one if each y value is associated with only one x value. A one to one function passes both the vertical and horizontal.
2.1 “Relations & Functions” Relation: a set of ordered pairs. Function: a relation where the domain (“x” value) does NOT repeat. Domain: “x” values Range:
Math – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.
1 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt FunctionsSlopeGraphs.
Graphing Functions #33.
Advanced Algebra w/Trig
Chapter 3 Test Review Algebra II CP Mrs. Mongold.
Algebra 1cc Functions 3 Determine the domain and range of a function from its graph Recall: the domain of a function is its independent or x values. The.
Relations, Functions, and Linear Equations Sections 2.1, 2.2 Modern Algebra II.
ALGEBRA II PART: 2 FUNCTIONS BASICS!!! You Put the Input in here Get magic number :D A function is an equation for which any x that can be plugged into.
5-1 Graphing Quadratic Functions Algebra II CP. Vocabulary Quadratic function Quadratic term Linear term Constant term Parabola Axis of symmetry Vertex.
1.6 A Library of Parent Functions Ex. 1 Write a linear function for which f(1) = 3 and f(4) = 0 First, find the slope. Next, use the point-slope form of.
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.
Review Functions. Function A function is a special type of relation in which each element of the domain is paired with exactly one element of the range.
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.
Objectives: To find inverse functions graphically & algebraically.
Relations and Functions
Section 2.1 Functions and Their Graphs
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Piecewise Functions At least 2 equations, each of which applies to a different part of the functions domain. It is like having 3 equations for 3 different.
PIECEWISE FUNCTIONS.
College Algebra Chapter 2 Functions and Graphs
4.8 Functions and Relations
2-1 Relations and Functions
4-5:One-to-One Functions and Their Inverses
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
1-1 Relations and Functions
3.1 – Graphing Linear Equations
Introduction to Functions
2.1 – Represent Relations and Functions.
Objective 1A f(x) = 2x + 3 What is the Range of the function
MATH CP Algebra II Graphing Linear Relations and Functions
Piecewise Functions At least 2 equations, each of which applies to a different part of the functions domain. It is like having 3 equations for 3 different.
Graphing and Evaluating The Piecewise Function A Series of Examples
Define evaluate and compare functions
College Algebra Chapter 2 Functions and Graphs
Relations and Functions
Basics of Functions and Their Graphs
Chapter 3 Graphs and Functions.
The Graph of a function Objectives: Identify the graph of a function
Chapter 3 Graphs and Functions.
MATH Algebra II Graphing Linear Relations and Functions
4.8 Functions and Relations
Solving Linear Equations by Graphing
3.5 – Introduction to Functions
3.6 - Inverse Functions Notation: Say: “f-inverse of x”…
The Graph of a function Objectives: Identify the graph of a function
Section 1 – Relations and Functions
Section 2-2 Linear Equations Objective:
Relations and Functions
Tell whether the relation below is a function.
5 Minute Check 1-4 Graph the equation : 2x + y – 4 = 0
2.3 Represent Relations & Functions p. 33
Introduction to Functions & Function Notation
Presentation transcript:

2.1-2.2 Relations, Functions, and Linear Equations Algebra II CP

Vocabulary Domain Range Discrete vs. Continuous Function Linear Equation Standard Form

Ex 17: Find the Domain and Range then determine whether each relation is a function. {(3, 2), (2, -4), (3, 5), (0, -7)} y=x+3

Ex : State the domain and range of each relation below then determine if it is a function. Vertical Line Test

Function Notation y=2x+3 y=|-x+5|

Ex : Given f(x) = 2x³ + x - 4 find each value: f(-2) f(3x)

Ex : Write each equation in Standard Form then identify the A, B, and C y = 4x +3 2x = .75y +6

Ex last one: Find the x- and y-intercept and then graph the equation. y = -2x + 5 2x + 3y = -6