Piecewise-defined Functions

Slides:



Advertisements
Similar presentations
Piecewise-defined Functions ½ x – 2, x > 2 f(x) =f(x) =3, x = 1 –2x + 3, –2 x < 1 Ex. 1: x y h/d x y h/d y x O x – 1, x < –3 f(x) =f(x) = x – 3, x = 4.
Advertisements

Domain and Range Increasing and Decreasing x- and y-intercepts
slope & y-intercept & x- & y- intercepts
Graphs of Exponential and Logarithmic Functions
Basic Functions and Their Graphs
Piecewise Functions Learning Targets: I can graph piecewise functions.
Graphing Piecewise Functions
x y no x y yes.
Section 2.2 Functions  Functions & Graphs  Function Notation & Equations  Applications: Interpolation & Extrapolation 12.2.
Find the x and y-intercepts from the graph. Find the intercepts and state domain and range.
2.3 Introduction to Functions
Functions. Warm Up Solve each equation. 1.2x – 6 = x = X + 29 = x – 5 – 4x = 17 x = 14 x = - 7 x = -15 x = 11.
Piecewise Graphs A piecewise function is defined by at least two equations, each of which applies to a different part of the function’s domain. One example.
2.7: Use Absolute Value Functions and Transformations HW: p.127 (4-20 even)
Section 1.7 Piecewise Functions. Vocabulary Absolute Value Function – a piecewise function, written as f(x)=, where f(x) 0 for all values of x. Greatest.
Relations, Functions, and Linear Equations Sections 2.1, 2.2 Modern Algebra II.
Lesson 4.7 Topic/ Objective: To evaluate and graph piecewise and step functions. EQ: How can you describe a function represented by more than one equation.
Sullivan PreCalculus Section 2.4 Library of Functions; Piecewise-Defined Functions Objectives Graph the Functions in the Library of Functions Graph Piecewise-defined.
Section 2.2 Graphs of Functions Objectives: Review Domain Find Domain from a graph. Graph piecewise functions.
2.2 day 3 The Piecewise Function
Homework Questions. QUIZ TIME! Piecewise Day 5  Finding Domain and Range.
Determine the x and y intercepts. Find the card that matches.
1.7 Piecewise Functions Objective: Identify and graph piecewise functions including greatest integer, step, and absolute value functions.
Graphing Trigonometric Functions
Sections 12.8, Review Game.
Functions Unit 8.
Objective: Review piecewise 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.
PIECEWISE FUNCTIONS.
Sullivan Algebra and Trigonometry: Section 6.3 Exponential Functions
College Algebra Chapter 2 Functions and Graphs
Piecewise Functions Notes
Exponential Equations
2.4 Library of Functions, Piecewise-Defined Functions
2.4 Library of Functions, Piecewise-Defined Functions
Chapter 2 Section 2 Part II
PARENT GRAPH FOR LINEAR EQUATIONS
Precalculus PreAP/Dual, Revised ©2018 §1.7: Piecewise Functions
Piecewise 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.
6.3 Logarithmic Functions
Graphing and Evaluating The Piecewise Function A Series of Examples
Section 5.2 – Logarithmic Functions
College Algebra Chapter 2 Functions and Graphs
Final Review.
Basics of Functions and Their Graphs
Topic/ Objective: To evaluate and graph piecewise and step functions.
Functions and Their Graphs
Homework Analyzing Graphs
Write the equation for the following slope and y-intercept:
Graph 2x + 4y = 16 by finding the x and y intercepts.
4.3 Logarithmic Functions
Warm Up – 1/27 - Monday Sketch a graph of the piecewise function:
Solve Quadratics by Graphing ax2 +bx + c
Sullivan Algebra and Trigonometry: Section 6.2
2.5 Library of Functions and Piece-Wise Functions
Section 3.1 Functions.
4.3 Logarithmic Functions
2.4 Library of Functions, Piecewise-Defined Functions
Characteristics.
Graphing Key Equations
Section 3 – Graphing Sine and Cosine Functions
2.7 Piecewise Functions Algebra 2.
Exponential Functions
2.5 Use Piecewise Functions
Characteristics.
Evaluating and graphing
Objectives: To graph lines using the slope-intercept equation
Warm-up: Solve each equation for a. 1. 2a–b = 3c
1: Slope from Equations Y = 8x – 4 B) y = 6 – 7x
Presentation transcript:

Piecewise-defined Functions Section 2.4 Piecewise-defined Functions

WISE FUNCTIONS

Piecewise Functions At least 2 equations, each of which applies to a different part of the functions domain. x y O 5

Piecewise Functions At least 2 equations, each of which applies to a different part of the functions domain. x y O 5 Find g(1) 2(1) +3 = 5 Find g(-3) -1/3(-3) – 2 = -1

Piecewise Functions x y O 5 Find f(1) Find f(3)

Piecewise Functions Practice #31): Find the domain: x y O 5 Find the domain: Locate any intercepts: Graph Find the range: Is f continuous on its domain?