7.5 – Graphing Square Roots and Cube Roots

Slides:



Advertisements
Similar presentations
A Library of Functions This presentation will review the behavior of the most common functions including their graphs and their domains and ranges. See.
Advertisements

7.5 Graphing Square Root & Cube Root Functions p. 431.
Exponential Functions
Warm Up Solve for y. 1. x = 3y –7 2. x = 3. x = 4 – y 4. x = y2 y + 5
Objective Video Example by Mrs. G Give It a Try Lesson 7.4  Identify and graph parent functions of the following families of functions: Linear Absolute.
1.2 Represent Functions as Rules and Tables
EXAMPLE 4 Graph a translated square root function Graph y = –2 x – Then state the domain and range. SOLUTION STEP 1 Sketch the graph of y = –2 x.
12.2 Functions and Graphs F(X) = x+4 where the domain is {-2,-1,0,1,2,3}
Transformations xf(x) Domain: Range:. Transformations Vertical Shifts (or Slides) moves the graph of f(x) up k units. (add k to all of the y-values) moves.
DOMAIN AND RANGE Goal: I can relate the domain of a function to its graph and where applicable, to the quantitative relationship it describes. (F-IF.5)
Algebra 1 Notes Lesson 7-2 Substitution. Mathematics Standards -Patterns, Functions and Algebra: Solve real- world problems that can be modeled using.
9/8/ Relations and Functions Unit 3-3 Sec. 3.1.
7.5 Graphs Radical Functions
Section 9.1: Evaluating Radical Expressions and Graphing Square Root and Cube Root Functions.
7.5 Graphing Square Root & Cube Root Functions
7.5 Graphing Square Root & Cube Root Functions By: L. Keali’i Alicea.
Section 6.5 Graph Square Root and Cube Root Functions.
Warm Up. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 5: Graphing Square Roots and Cubed Roots.
Functions Algebra. Functions Definitions Relation – a set of coordinate points (x, y) Domain – the x-values, input Range – the y-values, output Function.
What is the domain of the following relation? (use correct notation) { (1, 3), (4, 5.5), (6, 9), (10, 0) }
Graphing Square Root and Cube Root Functions
Solving Quadratics. Methods for Solving Quadratics Graphing Factoring Square Root Method Completing the Square Quadratic Formula.
Section 3Chapter 5. 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives Polynomial Functions, Graphs and Composition Use a polynomial.
MATH II – Math I review
Sec 7: Finding the Max/Min of a Quadratic Equation Learning Target: I will calculate the maximum or minimum of a quadratic equation and apply it to real-world.
ALGEBRA 2 HONORS 6.5 Graph Square Root & Cube Root Functions.
Powers and roots. Square each number a) 7 b) 12 c) 20 d) 9 e) 40 a) 49 b) 144 c) 400 d) 81 e) 1600.
Relations and Functions Intermediate Algebra II Section 2.1.
Graph Square Root and Cube Root Functions
Domain & Range Domain & Range Algebra 1 By: A. C. Rivera.
Domain and Range of a Graph. Domain The domain of a graph is displayed by the set of all possible x-values or abscissas. In this example, the domain continues.
2.1 GRAPHING LINEAR EQUATIONS GOAL: FIND DOMAIN AND RANGE. DETERMINE IF RELATIONS ARE FUNCTIONS. GRAPH LINEAR EQUATIONS.
Interpretation of Domain and Range of a function f.
1) Identify the domain and range InputOutput ) Graph y = -2x Domain = -1, 2, 5 & 6 Range = -2 & 3.
Graphing Cubed Roots Without a Calculator Objective: You should be able to graph cubed root functions (including their changes) without a calculator.
50 /1003 / 9120 /12021 / 35 2 / 103 / 618 / 245 / /10011 / 3317 / 345 / 10 2 / 610 / 1524 / 482 / 12.
Square Root Function Graphs Do You remember the parent function? D: [0, ∞) R: [0, ∞) What causes the square root graph to transform? a > 1 stretches vertically,
Ch : Which Values Are Possible? Domain & Range.
Algebra 2 Notes April 23, ) 2.) 4.) 5.) 13.) domain: all real #s 14.) domain: all real #s 16.) domain: all real #s 17.) domain: all real #s 22.)
Objective: Students will identify the domain and range of ordered pairs and graphs.
8.1 & 8.2 Exponential Functions 3/10/2014. In this lesson we will learn … What an exponential function is. Difference between exponential growth and decay.
Chapter 2 Section 1 Relations and Functions Algebra 2 Notes January 8, 2009.
7.5 Graphing Square Root & Cube Root Functions Obj: graph square root functions, state domain and range Do now: What is domain and range? Domain – the.
Section 4.2.  Label the quadrants on the graphic organizer  Identify the x-coordinate in the point (-5, -7)
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:
6.3 – Square Root Functions and Inequalities. Initial Point: (, k) and k are the horizontal and vertical shifts from the origin a value If a is negative.
Ticket in the Door 3-29 Solving Radical Inequalities Solve the following inequalities for x. Show work!
8.1 & 8.2 Exponential Growth and Decay 4/16/2012.
14.0 Math Review 14.1 Using a Calculator Calculator
7-8 Graphing Square root and other radical functions
Quadratic and Square Root Inverse Relationships with Restrictions
Cube Root Functions 6.3 – Day 2.
Graphing Square Root and Cube Root Functions
25 Math Review Part 1 Using a Calculator
Do Now: Can you input all real numbers into the x variable in the following functions? If not what numbers can x not take on?
Roots, Radicals, and Root Functions
Graph Square Root and Cube Root Functions
Graph Square Root and Cube Root Functions
7.5 Graphs Radical Functions
Honors Algebra II with Trigonometry Ms. Lee
Graph Square Root and Cube Root Functions
Radical Function Review
Quote of the Day If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is. -John Louis.
Graph Square Root and Cube Root Functions
Main Ideas Key Terms Chapter 2 Section 3 Graphing a Polynomial
Parent Functions.
Parent Functions.
X values y values. x values y values Domain Range.
Domain & Range Algebra 1, Unit 3, Lesson 3.
Presentation transcript:

7.5 – Graphing Square Roots and Cube Roots Algebra 2

Objectives Graph square and cube root functions Identify the domain and range of a graph

Graphing a Square Root Function State the domain and range of the function. Domain: the x-values for which the function exists. Range: the y-values for which the function exists.

Whiteboard Practice Graph . State the domain and range of the function. Domain: the x-values for which the function exists. Range: the y-values for which the function exists.

Whiteboard Practice Graph . State the domain and range of the function. Domain: the x-values for which the function exists. Range: the y-values for which the function exists. All real numbers All real numbers

Whiteboard Practice Graph . State the domain and range of the function. Domain: the x-values for which the function exists. Range: the y-values for which the function exists. All real numbers All real numbers

Before you leave… Graph . State the domain and range of the function. Domain: the x-values for which the function exists. Range: the y-values for which the function exists.

Homework pgs. 434-435 #28, 29, 32, 39 Graph and find the domain and range