Evaluating and graphing

Slides:



Advertisements
Similar presentations
Piecewise-defined Functions
Advertisements

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.
3.5 Continuity & End Behavior
1.4 Functions Function - for every x there is exactly one y. Domain - set of x-values Range - set of y-values Open books to page 40, example 1.
Families of Functions, Piecewise, and Transformations.
Graph 8 a. Graph b. Domain _________ c. Range __________
Math – Getting Information from the Graph of a Function 1.
Graphing Piecewise Functions
2.3 Analyzing Graphs of Functions. Graph of a Function set of ordered pairs.
1.6 Continuity CALCULUS 9/17/14. Warm-up Warm-up (1.6 Continuity-day 2)
Bellwork: Graph each line: 1. 3x – y = 6 2. Y = -1/2 x + 3 Y = -2
MM2A1. Students will investigate step and piecewise functions, including greatest integer and absolute value functions. b. Investigate and explain characteristics.
Jeopardy Game For Calculus Review $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400.
2.3 Introduction to Functions
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.
Section 3.5 Piecewise Functions Day 2 Standard: MM2A1 ab Essential Question: How do I graph piecewise functions and given a graph, can I write the rule?
Warm-up Determine the equation of this absolute value function. Then, give the intervals of increase and decrease and the domain and range.
Georgia Performance Standard (GPS): MM4A1 “Students Will Explore Rational Functions.”
WHAT IS A FUNCTION? WHAT IS THE DOMAIN OF A FUNCTION? THE RANGE? WHAT DOES A PIECEWISE GRAPH LOOK LIKE? HOW DO YOU WRITE A PIECEWISE FUNCTION? Piecewise.
Notes Over 2.3 The Graph of a Function Finding the Domain and Range of a Function. 1.Use the graph of the function f to find the domain of f. 2.Find the.
Math – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.
IFDOES F(X) HAVE AN INVERSE THAT IS A FUNCTION? Find the inverse of f(x) and state its domain.
Jeopardy Math Review Evaluating a Function Examining f(x) Examining the Graph of f(x) Combining Functions Inverses
Piecewise Functions 2.7 What is a piecewise function? How are they evaluated, graphed, written, and used? What is a step function? What is a greatest integer.
Math 71B 9.3 – Logarithmic Functions 1. One-to-one functions have inverses. Let’s define the inverse of the exponential function. 2.
Algebra II Piecewise Functions Edited by Mrs. Harlow.
2.7 Piecewise Functions p In real life functions are represented by a combination of equations, each corresponding to a part of the domain. These.
Tell Me Everything You Can About The Graph Below.
PIECEWISE FUNCTIONS. PIECEWISE FUNCTION Objectives: 1.Understand and evaluate Piecewise Functions 2.Graph Piecewise Functions 3.Graph Step Functions Vocabulary:
2.2 day 3 The Piecewise Function
1. Use the graph to determine intervals where the function is increasing, decreasing, and constant.
PIECEWISE FUNCTIONS. What You Should Learn: ① I can graph any piecewise function. ① I can evaluate piecewise functions from multiple representations.
Math – Exponential Functions
Evaluating Piecewise and Step Functions. Evaluating Piecewise Functions Piecewise functions are functions defined by at least two equations, each of which.
1.7 Piecewise Functions Objective: Identify and graph piecewise functions including greatest integer, step, and absolute value functions.
Increasing Decreasing Constant Functions.
Functions and Their Graphs
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.
Warm-Up.
PIECEWISE FUNCTIONS.
Piecewise Functions Notes
Functions and Their Graphs
Warm Up State the domain and range of the following equations:
Introduction to Functions
Notes Over 2.1 Function {- 3, - 1, 1, 2 } { 0, 2, 5 }
Warm-up Write the equations of the following graphs
Piecewise Functions.
Piecewise Functions Objective: Students will understand what a piecewise function is and how to sketch and interpret the graph.
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.
2.5 Piecewise Functions.
Piecewise-defined Functions
3.3 More on Functions; Piecewise-Defined Functions
2.5 Piecewise Functions.
Graphing and Evaluating The Piecewise Function A Series of Examples
Basics of Functions and Their Graphs
Function Tables and Graphs
Functions and Their Graphs
Piecewise Functions.
Algebra II Piecewise Functions
Section 3.1 Functions.
Characteristics.
2.7 Piecewise Functions Algebra 2.
Opening Questions Evaluate the function for the indicated values: f(x) = 3x – 2 1) f(2) 2) f(0) 3) f(-2) Graph the two linear equations on the.
2.5 Use Piecewise Functions
Characteristics.
y = -.5x + 4 for X > -2 y = 2x + 1 for X ≤ -2 Warm Up
Warm Up Graph the following on an x,y axis using the table method
f(x) g(x) x x (-8,5) (8,4) (8,3) (3,0) (-4,-1) (-7,-1) (3,-2) (0,-3)
Presentation transcript:

Evaluating and graphing Piecewise Functions Evaluating and graphing Accelerated math 2

Piecewise Functions…what is that???? A function represented by a combination of equations, each corresponding to a part of the domain.

Ex. Evaluate when (a) x = 0, (b) x = 2, (c) x = 4. 1.

Ex. Evaluate when (a) x = -3, (b) x = -1, (c) x = 5. 2.

Ex. Graph. State domain, range, interval over increasing/ decreasing Ex. Graph. State domain, range, interval over increasing/ decreasing. Is the function continuous? If not, what is the point of discontinuity? 3.

Ex. Graph. State domain, range, interval over increasing/ decreasing Ex. Graph. State domain, range, interval over increasing/ decreasing. Is the function continuous? If not, what is the point of discontinuity? 4.

Ex. Graph. State domain, range, interval over increasing/ decreasing Ex. Graph. State domain, range, interval over increasing/ decreasing. Is the function continuous? If not, what is the point of discontinuity? 5.

Ex. Graph 6.

Ex. Graph 7.