Section 7.2B Domain and Range.

Slides:

Advertisements

Similar presentations

Warm-Up: December 15, 2011  Divide and express the result in standard form.

Advertisements

Sullivan Algebra & Trigonometry: Section 3.2 The Graph of a Function Objectives Identify the Graph of a Function Obtain Information from or about the Graph.

4.4 Writing a Function Rule

Section 1.2 Basics of Functions

Name:__________ warm-up 9-1 Factor a 2 – 5a + 9, if possibleFactor 6z 2 – z – 1, if possible Solve 5x 2 = 125Solve 2x x – 21 = 0.

12.2 Functions and Graphs F(X) = x+4 where the domain is {-2,-1,0,1,2,3}

Relation A relation is a correspondence between two sets where each element in the first set, called the domain, corresponds to at least one element in.

Section 2.2 Functions  Functions & Graphs  Function Notation & Equations  Applications: Interpolation & Extrapolation 12.2.

Algebra 3 Section 2.3 The Graph of a Function Objectives Identify the Graph of a Function Identify the Graph of a Function Obtain Information from or about.

Find the x and y-intercepts from the graph. Find the intercepts and state domain and range.

Objective: 1-1 Relations and Functions 1 SAT/ACT Practice  1. What is the sum of the positive even factors of 12?

What is the symmetry? f(x)= x 3 –x.

Writing a Function Rule

2.1 “Relations & Functions” Relation: a set of ordered pairs. Function: a relation where the domain (“x” value) does NOT repeat. Domain: “x” values Range:

EXAMPLE 1 Finding Area and Perimeter of a Triangle Find the area and perimeter of the triangle. A = bh 1 2 P = a + b + c = (14) (12) 1 2 =

Graph Square Root and Cube Root Functions

Section 2.1 Notes: Relations and Functions

Math – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.

Math 1111 Review for Test #1 Sections 1.2 – 2.1. Function or Not a Function? {(4, -5), (3, 4), (-2, 5)} A. Function B. Not a Function.

Chapter 7 Day 3 Book Section 7.5 Get 2 grids for the 2 shift problems!

5.5 Quadratic Equations. Warm-up Factor fully. Solving by Factoring 1a) Solve.

Relations, Functions, and Linear Equations Sections 2.1, 2.2 Modern Algebra II.

2.2 day 3 The Piecewise Function

Warm up. Graph Square Root and Cube Functions (Section 6-5) Essential Question: What do the graphs of square root and cube root functions look like? Assessment:

Review Functions. Function A function is a special type of relation in which each element of the domain is paired with exactly one element of the range.

Functions LINEAR AND NON LINEAR. Linear function What is the function that states that the range values are 2 more than the domain values?  f(x) = x.

Introduction to Functions Honors Math – Grade 8. KEY CONCEPT Function A function is a relation in which each element of the domain is paired with exactly.

Section 2.8 Distance and Midpoint Formulas; Circles.

Chapter 8.1 vocabulary Relation Is a pairing of numbers or a set of ordered pair {(2,1) (3,5) (6, 3)} Domain: first set of numbers Range: Second set of.

Analyzing Polynomial Functions

Function Notation and Parent Functions

Functions Section 5.1.

CHAPTER 2 SECTION 1.

Functions and Their Graphs

Functions (1-7) Objective: Determine whether a relation is a function. Find function values.

1-7 functions Goals: Identify a function. Find function values.

RELATIONS AND FUNCTIONS

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.

Chapter 6: Radical functions and rational exponents

College Algebra Chapter 2 Functions and Graphs

4.6 – Formalizing Relations and Functions

Section 2.8 Distance and Midpoint Formulas; Circles

1-1 RELATIONS & FUNCTIONS

ALGEBRA I - SECTION 4-6 (Formalizing Relations and Functions)

1.7 Represent Graphs as Functions

Identifying Linear Functions and Equations

Objective 1A f(x) = 2x + 3 What is the Range of the function

Algebra 1 Section 5.3.

Unit 5 Quadratic Functions.

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

Relations and Function

Graphing and Evaluating The Piecewise Function A Series of Examples

College Algebra Chapter 2 Functions and Graphs

Relations and Functions

Unit 3 Functions.

One-to-One Functions;

2.3 RELATIONS AND FUNCTIONS

Solve Quadratics by Graphing ax2 +bx + c

Section 3.1 Functions.

Unit 3 Functions.

Relations and Functions

Exponential Functions

Algebra 1 Section 8.5.

Unit 3-Section 4 “Functions, Tables, Graphs”

Tutoring is on Tuesdays and Thursdays from 7:45 to 8:15 a.m.

Name the quadrant or the axis on which the following points lie.

1-7 functions Goals: Identify a function. Find function values.

Functions and Relations

Presentation transcript:

Section 7.2B Domain and Range

Find the Domain and Range Find the domain given the ordered pairs. {(5, 2), (-1/2, -2), (-8, 0), (1/12, 13)} Domain {-8, -1/2, 1/12,5 } Range {-2, 0, 2, 13}

Find the Domain and Range Find the domain given the graph.

Find the Domain and Range Find the domain given the graph. Domain [1, 5] Range [0, 3]

Find the Domain and Range

Find the Domain and Range

Find the Domain and Range

Find the Domain and Range

Find the Domain and Range Given the function find the domain and range F(x) = 2x +3

Find the Domain and Range Given the function find the domain and range F(x) = 2x +3 Domain (-∞, ∞) Range (-∞, ∞)

Find the Domain and Range Given the function find the domain and range F(x) = |x - 2|

Find the Domain and Range Given the function find the domain and range F(x) = |x - 2| Domain (-∞, ∞) Range [0, ∞)

Find the Domain and Range Given the function find the domain and range F(x) = 1/x

Find the Domain and Range Given the function find the domain and range F(x) = 1/x Domain (-∞, 0) or (0,∞) Range (-∞, 0) or (0,∞)

Find the Domain and Range Given the word problem The Area A of a square with sides of length s is given by A(s) = s²

Find the Domain and Range Given the word problem The Area A of a square with sides of length s is given by A(s) = s² Domain [0, ∞) Range [0, ∞)

Find the Domain Given the word problem The height, h, in feet, of a weeping willow fireworks display t seconds after having been launched from an 80 ft high rooftop is given by the equation h(t) = -16t² + 64t + 80.

Homework 14, 19, 29, 31, 33, 39, 47, 52, 56, and 75