A Library of Parent Functions. The Constant Parent Function Equation: f(x) = c Domain: (-∞,∞) Range: [c] Increasing: None Decreasing: None Constant: (-∞,∞)

Slides:

Advertisements

Similar presentations

5/2/ Parent Functions1 warm_up #5 How do you think you did on the last test? What parts did you do well in? What parts could you have improved upon?

Advertisements

Parent Function Booklet: Linear, Quadratic, Cubic, Absolute Value

1 © 2010 Pearson Education, Inc. All rights reserved © 2010 Pearson Education, Inc. All rights reserved Chapter 2 Graphs and Functions.

Function Families Lesson 1-5.

Unit 3 Functions (Linear and Exponentials)

Unit 3 Functions (Linear and Exponentials)

Properties of Functions

Properties of Functions Section 1.6. Even functions f(-x) = f(x) Graph is symmetric with respect to the y-axis.

Library of Functions; Piecewise-defined Functions February 5, 2007.

Functions and Their Graphs. 2 Identify and graph linear and squaring functions. Recognize EVEN and ODD functions Identify and graph cubic, square root,

Name That Graph…. Parent Graphs or Base Graphs Linear Quadratic Absolute Value Square Root Cubic Exponential Math

Library of Functions.

A Library of Parent Functions Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 Definition: Functions Linear Function.

9/18/ : Parent Functions1 Parent Functions Unit 1.

Functions and Graphs 1.2. FUNCTIONSFUNCTIONS Symmetric about the y axis Symmetric about the origin.

2.4 Graphs of Functions The graph of a function is the graph of its ordered pairs.

Properties of Functions Operations on Functions

Chapter 2.2 Algebraic Functions. Definition of Functions.

1.3 Families of Equations. What families of graphs have your studied? Linear Absolute Value Quadratic Square Root Cubic Cube Root.

Homework: p , 17-25, 45-47, 67-73, all odd!

Parent functions Module 2 Lesson 4.

3.3 Library of Functions, Piecewise- Defined Functions.

Section 1.3 – More on Functions. On the interval [-10, -5]: The maximum value is 9. The minimum value is – and –6 are zeroes of the function.

A Library of Parent Functions MATH Precalculus S. Rook.

Honors Pre-Calculus Library of Functions, Piecewise- Defined Functions.

3.3 Library of Functions, Piecewise-Defined Functions

October 3, 2012 Parent Functions Warm-up: How do you write a linear function, f for which f(1) = 3 and f(4) = 0? *Hint: y = mx + b HW 1.6: Pg. 71 #1-5,

Objectives: Graph the functions listed in the Library of Functions

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.

Determining the Key Features of Function Graphs 10 February 2011.

Topic #2: Understanding Inverse Relations

Intro to Functions Mr. Gonzalez Algebra 2. Linear Function (Odd) Domain (- ,  ) Range (- ,  ) Increasing (- ,  ) Decreasing Never End Behavior As.

Classes of Functions. List of Functions Constant function  An equation with a horizontal line that crosses the y-axis. Ex) y = 2.5.

Math 1111 Test #2 Review Fall Find f ° g.

Parent Graphs and Transformations

Parent LINEAR Function Start at the Origin Symmetry with Respect to the Origin.

Unit 3 Test Review – Identifying Parent Functions October 30, 2014.

Sullivan PreCalculus Section 2.4 Library of Functions; Piecewise-Defined Functions Objectives Graph the Functions in the Library of Functions Graph Piecewise-defined.

The 12 Basic Functions By Haley Chandler and Sarah Engell.

1.5 Library of Functions Classify functions and their graphs.

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.

Parent Function Notes.

RECAP Functions and their Graphs. 1 Transformations of Functions For example: y = a |bx – c| + d.

PARENT FUNCTIONS Constant Function Linear (Identity) Absolute Value

Parent Functions. Learning Goal I will be able to recognize parent functions, graphs, and their characteristics.

Target: We will be able to identify parent functions of graphs.

Parent functions Module 2 Lesson 4.

Quadratic and Square Root Inverse Relationships with Restrictions

Solve the radical equation

Functions, Symmetry, and the Parent Functions

2.4 Library of Functions, Piecewise-Defined Functions

2.4 Library of Functions, Piecewise-Defined Functions

Function Transformations

Sec. 2.4 Library of Functions

8/8/17 Warm Up Solve the inequality. .

3.4: Graphs and Transformations

Rev Graph Review Parent Functions that we Graph Linear:

Identifying Functions

1.6 A Library of Parent Functions

Parent Functions.

Analyze families of functions

Parent Functions.

Date Library of Functions

Functions, Symmetry, and the Parent Functions

Horizontal shift right 2 units Vertical shift up 1 unit

Analyze Graphs of Functions

Parent Function Notes Unit 4

2.4 Library of Functions, Piecewise-Defined Functions

Analysis of Absolute Value Functions Date:______________________

Presentation transcript:

A Library of Parent Functions

The Constant Parent Function Equation: f(x) = c Domain: (-∞,∞) Range: [c] Increasing: None Decreasing: None Constant: (-∞,∞) Symmetry: y-axis

The Linear Parent Function (Identity) Equation: f(x) = x Domain: (-∞,∞) Range: (-∞,∞) Increasing: (-∞,∞) Decreasing: None Constant: None Symmetry: Origin

The Absolute Value Parent Function

The Quadratic Parent Function (Squaring)

The Cubic Parent Function Equation: f(x) = x 3 Domain: (-∞,∞) Range: (-∞,∞) Increasing: (-∞,∞) Decreasing: None Constant: None Symmetry: Origin

The Square Root Parent Function

The Reciprocal Parent Function (Rational, Inverse)

The Exponential Parent Function Equation: f(x) = 2 x Domain: (-∞,∞) Range: (0,∞) Increasing: (-∞,∞) Decreasing: None Constant: None Symmetry: None