* Objective: Identify and graph absolute value functions and piecewise functions. * How do I represent the path of a pool ball? Astatix.com.

Slides:



Advertisements
Similar presentations
Objective: be able to graph absolute value functions, and identify changes on their graphs POD: Solve and graph the following inequality -2y + 4 < 6x.
Advertisements

4.10: Write Quadratic Functions and Models HW: p.312 – 313 (4, 12, 18, 22, 28, 34) Test : Wednesday.
Solve an absolute value inequality
Absolute Value is defined by: The graph of this piecewise function consists of 2 rays, is V-shaped and opens up. To the left of x=0 the line is y = -x.
3.7 Absolute Value Equations and Inequalities I can solve equations and inequalities involving absolute value.
Warm Up Find: f(0) = f(2) = f(3) = f(4) =.
Absolute Value Inequality
Graphing Lines Test Review By Mrs. Anderson. Graph the following using slope and y-intercept Y=2x + 3 Y=3/4x – 7 Y=3/2x + 5 Y=4x.
5.3.2 – Quadratic Equations, Finding Zeroes. Recall, we went over how to factor quadratics that are trinomials Example. Factor the expression x 2 + 7x.
Determine whether (2, 4) is a solution for y= 5x-6.
2-4 A Variety of Graphs Piecewise Functions. What are Piecewise Functions? Piecewise functions are defined for specific domains. The most basic example.
2.8 : Absolute Value Functions What is absolute value? What does the graph of an absolute value function look like? How do you translate an absolute value.
2-4 A Variety of Graphs Piecewise Functions. What are Piecewise Functions? Piecewise functions are defined for specific domains. The most basic example.
1. Graph this piecewise function. f(x) = 3x – 1if x < -2 ½x + 1if x > Write an equation for this piecewise function. { Algebra II 1.
1. {(0, 10), (2, 7), (4, 5), (6, 2), (10, 1) } a. Make a scatter plot b. Describe the correlation c. Write the equation of the line of best fit.
Solving Quadratic Equations by Factoring January 6, 2015 Pages
Graphing Quadratic Equations
Math II Day 42 (3-8-10) UNIT QUESTION: How are absolute value equations similar to piecewise functions? Standard: MM2A1 Today’s Question: How do we graph.
6.4 Solving Absolute Value Equations and Inequalities
Warm-up 1.Write the equation of the line that passes through the point (0,5) and has a slope of 4. 2.Find the slope of a line passing through (-3,6) and.
Vertex form Form: Just like absolute value graphs, you will translate the parent function h is positive, shift right; h is negative, shift left K is positive,
3.3 Graphing and Solving Systems of Linear Inequalities.
Notes Over 2.8 Graphing an Absolute Value Function xy Vertex: Axis of Symmetry: Slope: ( 1, 2 ) x = 1 up 2, right/left.
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.
Warm up Write the slope and y-intercept for the following linear functions 1.y = 4x – 6 2.y = -3x y = 4 – 2x 4.y = 1/3x y = -2/3x.
1.6 A Library of Parent Functions
Quiz Chapter 2 Ext. – Absolute Value
2.8 Absolute Value Functions
Solving Absolute-Value Inequalities
What piecewise function represents the graph?
Graphing Absolute Value Functions
STANDARD FORM OF A LINEAR EQUATION
1.6 A Library of Parent Functions
2-5 Absolute Value Functions and Graphs
2.8 Graphing Absolute Value Functions
2.7 Absolute Value Functions and Graphs
Solving Absolute Value Equations
Graphing Absolute Value Equations in two variables
Notes Over 4.7 Solving an Equation Graphically
Using the Slope Formula
Solve a system of linear equation in two variables
2-6 Special Functions.
Section 2.1: Graphing Absolute Value Functions
6.5 Solving Open Sentences involving Absolute Value
Absolute Value inequalities
Pre-Calculus 11: Section: 8.1 Solving Systems of Equation by Graphing
Absolute Value is defined by:
What is an equation? An equation is a mathematical statement that two expressions are equal. For example, = 7 is an equation. Note: An equation.
Piecewise Functions.
Warm-Up Find the value of x: 3x – 5 = 9 – 4x.
Warm Up Factor the following quadratic expressions. 4x2 + 32x
Quadratic Functions The graph of a quadratic function is called a parabola. The parent function is given as This is the parent graph of all quadratic functions.
1.4 Solving Absolute-Value Equations
Section 2.2: Solving Absolute Value Equations
ABSOLUTE VALUE September 7, 2016.
Topic/ Objective: To evaluate and graph piecewise and step functions.
Warm-Up Solve the system by graphing..
Write the equation for the following slope and y-intercept:
1.4 Solving Absolute-Value Equations
Warm Up – 1/27 - Monday Sketch a graph of the piecewise function:
Warm-Up Solve the system by graphing..
Solve Systems of Equations by Graphing
Warm Up Find the following: Vertex A.O.S. Y-intercept X-intercept.
Graphing Absolute Value Functions
Section 2.9: Solving Inequalities in One Variable
Example 1: Solving Rational Equations
Objectives: To graph lines using the slope-intercept equation
2-6: Special Functions Direct Variation: A linear function in the form y = kx, where k 0 Constant: A linear function in the form y = b Identity:
1: Slope from Equations Y = 8x – 4 B) y = 6 – 7x
Special Functions Constant Step Absolute Value Piece Wise Identity.
Presentation transcript:

* Objective: Identify and graph absolute value functions and piecewise functions. * How do I represent the path of a pool ball? Astatix.com

(h, k) is the vertex a is the “slope” - If the absolute value function is NOT in standard form you find the vertex by setting the absolute value equal to 0, solve for x and plug in to solve for y.

Step 1: Determine the vertex Step 2: Create a table of values ** Check 2 points up/down from vertex Step 3: Graph

A function that is written using two or more expressions

HW p ,20-33