Section 13.1: Understanding Piecewise-Defined Functions

Slides:

Advertisements

Similar presentations

2.6 Special Functions Warm-up (IN) Learning Objective: to write and graph piecewise and absolute value functions and to apply them to real world situations.

Advertisements

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)

2.2 day 3 The Piecewise Function

Section 11.1: Solving Linear Systems by Graphing

Section 11.4: Solving Linear Systems by Multiplying First

Section 5.1: Multipliying Polynomial Expressions by Monomials

What piecewise function represents the graph?

Piecewise Investigation Reflection

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.

Section 9.1: Solving Equations by Taking Square Roots

Section 12.1: Creating Linear Systems

Section 18.3: Special Right Triangles

Section 8.3: Using Special Factors to Solve Equations

Multiple-Angle and Product-Sum Formulas

Piecewise Functions Notes

Section 3.4 Graphing Functions.

Section 17.1: Translations

Section 12.3: Modeling with Linear SYstems

Section 14.4: Perpendicular Lines

Section 21.2: AAS Triangle Congruence

Modeling Linear Relationships

Section 13.3: Solving Absolute Value Equations

Section 11.2: Solving Linear Systems by Substitution

Section 16.1: Dilations.

Section 21.3: HL Triangle Congruence

Section 24.1: Properties of Parallelograms

Section 15.6: Properties of Parallelograms

Section 2.1: Graphing Absolute Value Functions

Section 24.3: Properties of Rectangles, Rhombuses, and Squares

Section 20.1: Exploring What Makes Triangles Congruent

Graph and Write Equations of Hyperbolas

Section 4.3 Solve.

Section 18.1: Sequences of Transformations

Section 17.3: Rotations.

Solve Systems of Linear Inequalities

Section 10.2: Fitting a Linear Model to Data

Section 16.4: Reasoning and Proof

Section 9.3: Histograms and Box Plots

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-defined Functions

Modeling with Functions

Section 4.4 Solve.

Section 5.2 Using Intercepts.

Limits at Infinity and Limits of Sequences

Section 20.2: ASA Triangle Congruence

Section 24.4: Conditions for Rectangles, Rhombuses, and Squares

Section 1.2 Graphs of Functions.

Section 6.2 Point Slope Form.

Section 24.4: Conditions for Rectangles, Rhombuses, and Squares

Graph Quadratic Equations in Standard form

Interpreting Rate of Change and Slope

Graphing and Evaluating The Piecewise Function A Series of Examples

Section 2.2: Solving Absolute Value Equations

Section 20.4: SSS Triangle Congruence

Objective(s): By following instructions, students will be able to: Discover that the corresponding parts of congruent figures are congruent.

Section 13.2: Absolute Value Functions and Transformations

Using Functions to Solve One-Variable Equations

Section 6.3 Standard Form.

5.8 – Graphing standard form

Section 6.1 Slope Intercept Form.

Section 18.2: Proving Figures are Congruent Using Rigid Motions

Sum and Difference Formulas

Section 12.2: Graphing Systems of LInear Inequalities

2.7 Piecewise Functions Algebra 2.

Section 2.3: Solving Absolute Value Inequalities

Section 13.2: Understanding Inverse Functions

Transforming Linear Functions

Understanding Linear Functions

Section 3.1: Understanding Rational Exponents and Radicals

Presentation transcript:

Section 13.1: Understanding Piecewise-Defined Functions

Objective(s): By following instructions, students will be able to: explain how piecewise-defined functions are different from other functions.

explain 1A Evaluate each piecewise function for the given values.

explain 1B Evaluate each piecewise function for the given values. Find f(-3), (-0.2), and f(0) for

Your-Turn# 1 Evaluate each piecewise function for the given values.

explain 2A Graph the function.

explain 2B Graph the function. ƒ(x) = ⎣x⎦

Your-Turn# 2 Graph the function.

explain 3A Write a piecewise function for each situation.

explain 3B Write a piecewise function for each situation.

Your-Turn# 3

explain 4 Write an equation for the graph.

Revisit Objective(s): Did we... explain how piecewise-defined functions are different from other functions?

HW: Sec 13.1 pg 468 #s 1-25, LPT