Analyze Graphs of Functions

Slides:



Advertisements
Similar presentations
5.2 Properties of Parabolas
Advertisements

5.1 Modeling Data with Quadratic Functions. Quadratic Function: f(x) = ax 2 + bx + c a cannot = 0.
Topic 1: Given an equation, determine the type of function represented. Topic 2: Given an equation, describe the function’s rate of change. Topic 3: Given.
Parent Function Booklet: Linear, Quadratic, Cubic, Absolute Value
Library of Functions.
9/18/ : Parent Functions1 Parent Functions Unit 1.
Parent Functions AII.6. Functions At this point you should be very familiar with linear and absolute value functions. You should be able to ◦ Recognize.
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.
Objectives: Graph the functions listed in the Library of Functions
Graphing Quadratic Functions (2.1.1) October 1st, 2015.
2.3 Quadratic Functions. A quadratic function is a function of the form:
A Library of Parent Functions. The Constant Parent Function Equation: f(x) = c Domain: (-∞,∞) Range: [c] Increasing: None Decreasing: None Constant: (-∞,∞)
5-1 Modeling Data With Quadratic Functions Big Idea: -Graph quadratic functions and determine maxima, minima, and zeros of function. -Demonstrate and explain.
Quadratics Questions.
Unit 1 Review Standards 1-8. Standard 1: Describe subsets of real numbers.
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.
Intro to Functions Mr. Gonzalez Algebra 2. Linear Function (Odd) Domain (- ,  ) Range (- ,  ) Increasing (- ,  ) Decreasing Never End Behavior As.
Parent Graphs.
Parent Graphs and Transformations
Section 3.5B: Parent Functions
Parent LINEAR Function Start at the Origin Symmetry with Respect to the Origin.
Unit 3 Test Review – Identifying Parent Functions October 30, 2014.
Lesson: Objectives: 5.1 Solving Quadratic Equations - Graphing  DESCRIBE the Elements of the GRAPH of a Quadratic Equation  DETERMINE a Standard Approach.
Big Idea: -Graph quadratic functions. -Demonstrate and explain the effect that changing a coefficient has on the graph. 5-2 Properties of Parabolas.
5-1 Graphing Quadratic Functions Algebra II CP. Vocabulary Quadratic function Quadratic term Linear term Constant term Parabola Axis of symmetry Vertex.
Section 3.4 Library of Functions; Piecewise-Defined Functions.
Parent Function Notes.
MGSE9-12.A.APR.7 Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication,
Parent Functions. Learning Goal I will be able to recognize parent functions, graphs, and their characteristics.
Nuffield Free-Standing Mathematics Activity
Solving Quadratic Equation by Graphing
Parent functions Module 2 Lesson 4.
Schedule for Rest of Semester
Warm Up /05/17 1. Evaluate x2 + 5x for x = -4 and x = 3. __; ___
Quadratic Equations Chapter 5.
Homework Questions.
Solving Quadratic Equation and Graphing
Function Transformations
Solutions, Zeros, and Roots
Solving Quadratic Equation by Graphing
Warmup: Find the inverse function for each:
Linear Equations Y X y = x + 2 X Y Y = 0 Y =1 Y = 2 Y = 3 Y = (0) + 2 Y = 2 1 Y = (1) + 2 Y = 3 2 Y = (2) + 2 Y = 4 X.
Solving a Quadratic Equation by Graphing
Completing the square means writing the unknown terms of a quadratic in a square bracket Example because Application To find the maximum or minimum value.
5.1 Modeling Data with Quadratic Functions
Rev Graph Review Parent Functions that we Graph Linear:
Identifying Functions
3.1 Quadratic Functions and Models
Lesson 3: Linear Relations
4.3 Analyzing Graphs Nov. 13 and 14.
Solving Quadratic Equation by Graphing
Parent Functions.
Graphing Quadratic Functions (2.1.1)
Solving Quadratic Equation by Graphing
Analyze families of functions
GSE Algebra I Unit 4/5/6 Review.
GSE Algebra I Unit 4/5/6 Review.
Parent Functions.
Creating & Graphing Quadratic Functions Using the X-Intercepts (3.3.2)
Solving Quadratic Equation by Graphing
Some Common Functions and their Graphs – Quadratic Functions
Solving Quadratic Equation
3.1 Quadratic Functions and Models
Parent Function Notes Unit 4
Schedule for Rest of Semester
 .
How do we graph and interpret functions?
Quadratic Equation Day 4
Warm Up Determine whether the function is increasing, decreasing, or constant. Explain your answer. Graph the function x y Determine if.
Schedule for Rest of Semester
Presentation transcript:

Analyze Graphs of Functions Ind 6 and 7

Parent Functions Constant y = b Linear y = x

Parent Functions Quadratic 4. Square Root y = x2

Parent Functions 5. Absolute Value 6. Cubic y = x3

Parent Functions 7. Step Functions 8. Exponential y = bx

Ex 1: Graph the following functions a. y = -3x + 2 b.

Ex 2: Graph the following functions a. y = x2 – 1 b.

Ways to Describe a Graph The following are ways to describe a graph: Intercept Increasing Decreasing Maximum Minimum Symmetry End Behavior

Ex 3: Describe the following graphs a. b.