Functions and Their Graphs

Slides:



Advertisements
Similar presentations
Graph: x + y = 5 1. Solve for y. 2. Make an X|Y chart. 3. Graph.
Advertisements

Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.
Inverse Functions Section 1.8.
Lesson 5.2 (PART 2) FUNCTION NOTATION.
7.4 Function Notation and Linear Functions
DAY 7 – INVERSE OF A FUNCTION. 1.Use Exponential Regression to find an exponential function that contains the points (3, 54) and (4,162). 2.What is the.
Inverses Algebraically 2 Objectives I can find the inverse of a relation algebraically.
Bellwork: Graph each line: 1. 3x – y = 6 2. Y = -1/2 x + 3 Y = -2
Section Functions Function: A function is a correspondence between a first set, called the domain and a second set called the range such that each.
4.6.1 – Absolute Value Functions. We now know how to solve and graph different types of inequalities and equations, including those with absolute value.
Do Now Evaluate the function:. Homework Need help? Look in section 7.7 – Inverse Relations & Functions in your textbook Worksheet: Inverses WS.
5.2 – Solving Inequalities by Multiplication & Division.
Solving equations with polynomials – part 2. n² -7n -30 = 0 ( )( )n n 1 · 30 2 · 15 3 · 10 5 · n + 3 = 0 n – 10 = n = -3n = 10 =
Drill #62 For each equation make an x,y chart and find 3 points for each equation. Plot each set of points on a coordinate plane, connect them, and draw.
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 9-1 Exponential and Logarithmic Functions Chapter 9.
Inverse Functions The inverse of a function is obtained by interchanging the x and y values of the original function. Inverse Function Notation: If the.
Linear Functions January 11, 2017.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
T-Tables & Scatterplots
Objectives: To find inverse functions graphically & algebraically.
CHAPTER 2 SECTION 1.
Functions and Their Graphs
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Chapter 6 Section 3.
Direct Variation and Graphing Linear Functions
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
2-5 Absolute Value Functions and Graphs
4.8 Functions and Relations
4.6 – Formalizing Relations and Functions
Warmup Let f(x) = x – 3 and g(x) = x2. What is (f ○ g)(1)?
Chapter 5: Inverse, Exponential, and Logarithmic Functions
Graph Square Root and Cube Root Functions
Chapter 4: Graphing Linear Equations
4.2 Graph Quadratic Functions in Vertex or Intercept Form
Lesson 0 – 4 & 0 – 5 Algebraic Expressions & Linear Equations
Inverse Linear Functions
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Inverse Functions.
Graph Square Root and Cube Root Functions
4.1 Inverse Functions.
Evaluating Functions.
USING GRAPHS TO SOLVE EQUATIONS
Quick Graphs of Linear Equations
Chapter 3 Section 6.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Write Polynomial Functions and Models
Lesson 3.3 Function Notation
Chapter 3 Section 6.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Which of the following graphs corresponds to the inequality {image} ?
Notes 7-4 (Day 1) Linear Graphs.
Solving systems using substitution
HW: Maintenance Sheet DUE
Section 4.1 Inverse Functions.
FUNCTION NOTATION.
“Yesterday was a good day……” Journey 1979
Objectives Write functions using function notation.
L2-5 Objective: Students will solve and graph equations and inequalities involving absolute values Absolute Value Function Parent Function.
Functions MATHPOWERTM 11, WESTERN EDITION
Introduction to Functions
2.7 Piecewise Functions Algebra 2.
2.1 Functions.
Use Inverse Functions Notes 6.4.
GRAPHING LINEAR EQUATIONS
Day 7 – Inverse of a Function
Objectives: To graph lines using the slope-intercept equation
Chapter 5: Exponential and Logarithmic Functions
Writing Rules for Linear Functions Pages
Function Notation.
Presentation transcript:

Functions and Their Graphs Notes 2.1 (Day 2) Functions and Their Graphs

Graphing x y t-charts Step 1: In the x column, choose -1, 0, and 1 Step 2: Solve for the corresponding y value Step 3: graph the points Step 4: Connect the points Step 5: Make sure the line is continuous

Example: Graph the equation using an x y t-chart. y = x – 4

Example: Graph the equation using an x y t-chart. y = 2x + 1

Example: Graph the equation using an x y t-chart. y = -2x +4

How to Write in Function Notation: 1. Solve for y 2. Replace y with f(x) y and f(x) are interchangeable, they mean the same thing

Evaluating Functions Evaluate the function when x = -2

Evaluating functions: Evaluate the function when x = -3

Evaluate the function when x = 3

Evaluate the function when x = -3

Evaluate the function when x = -1

Homework: P 77 25-39