Graphing Square Root and Cube Root Functions Section 7.5.

Slides:

Advertisements

Similar presentations

Graphing Square root and Cube root functions

Advertisements

6.3 – Square Root Functions and Inequalities

Graphs of Radical Functions

7.5 Graphing Square Root & Cube Root Functions p. 431.

EXAMPLE 4 Using a Square Root Equation Amusement Parks

Chapter 2 Functions and Graphs Section 2 Elementary Functions: Graphs and Transformations.

EXAMPLE 1 Graph a square root function Graph y =,and state the domain and range. Compare the graph with the graph of y =. 1 2  x  x SOLUTION Make a table.

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.

Square Roots and Cube Roots

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

HW: Pg #15-47o. Quiz 2 Pg. 429 #1-16.

nth Roots and Rational Exponents

Lecture 9: Problem Solving Review For Test 1. How to identify type of problem? If something is going in a circle: circular motion If the problem mentions.

Do Now: Write the recursive formula for the following problems or write the pattern. 1.a 1 = -3, a n = a n a 1 = -2, a n = 2a n , 64, 16,

7.5 Graphs Radical 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.

Lesson 6.5, For use with pages

Chapter 2 Functions and Graphs Section 2 Elementary Functions: Graphs and Transformations.

Graphing Square Root and Cube Root Functions

7.5 – Graphing Square Roots and Cube Roots

ALGEBRA 2 HONORS 6.5 Graph Square Root & Cube Root Functions.

Graph Square Root and Cube Root Functions

1) Identify the domain and range InputOutput ) Graph y = -2x Domain = -1, 2, 5 & 6 Range = -2 & 3.

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

Chapter 7 – Radical Equations and Inequalities 7.3 – Square Root Functions and Inequalities.

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,

Advanced Algebra Notes Section 6.5: Graphing Square Root and Cubic Root Functions The graphs of and are examples_____________________. In this lesson we.

1 Copyright © 2015, 2011, and 2008 Pearson Education, Inc. Chapter 1 Functions and Graphs Section 2 Elementary Functions: Graphs and Transformations.

Warm Up. Objective: To find the inverse of a function, if the inverse exists.

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.

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.

1) Which of the following graphed functions below has the same range as ? B. C.D. A.

Ticket in the Door 3-29 Solving Radical Inequalities Solve the following inequalities for x. Show work!

Topic VIII: Radical Functions and Equations 8.2 Graphing Radical Functions.

4.8 GRAPHING RADICAL FUNCTIONS. OBJECTIVE To graph square root and other radical functions.

Section 2.8 Distance and Midpoint Formulas; Circles.

Section 10.1 Day 1 Square Root Functions Algebra 1.

14.0 Math Review 14.1 Using a Calculator Calculator

Graphing Radical Functions

7-8 Graphing Square root and other radical functions

Lesson 13.3 graphing square root functions

Section 2.6 Rational Functions Part 2

Unit 3B Graph Radical Functions

Cube Root Functions 6.3 – Day 2.

Chapter 2 Functions and Graphs

Graphing Square Root and Cube Root Functions

Radical Functions Algebra

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?

Do Now: If you have progress reports, put them in my basket

One Step Equations – Addition

Chapter 2 Functions and Graphs

7.5 Graphs Radical Functions

Domain and range: all real numbers

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.

Elementary Functions: Graphs and Transformations

Graph Square Root and Cube Root Functions

Main Ideas Key Terms Chapter 2 Section 3 Graphing a Polynomial

5.3 Graphing Radical Functions

Unit 3 Functions.

Section 10.1 Day 1 Square Root Functions

7.5 Graphing Square Root & Cube Root Functions

6.5 Graph Square Root & Cube Root Functions

6.5 Graphing Square Root & Cube Root Functions

10.5 Graphing Square Root Functions

Presentation transcript:

Graphing Square Root and Cube Root Functions Section 7.5

WHAT YOU WILL LEARN: 1.How to graph square root and cube root functions. 2.How to use square root and cube root functions to find real-life quantities.

Some Basic “ Root ” Graphs

Graphs of Radical Functions On the your calculator, graph: Now graph:

Movement of Basic Graphs Those were your basic square root and cube root graphs. Let ’ s see how we can move them around. Try each of the following on your calculator:

Movement on the X and Y Axes What did you notice?

Now the Cube Root Function Below the cube root graph, graph the following:

Summary To graph or follow these steps: 1. Sketch the basic graph 2. Shift the graph h units horizontally and k units vertically.

Example 1 Graph

Example 2 Graph

Example 3 Graph

Finding Domain and Range Find the domain and range of the following: A. B.

A “ Real ” Example At an amusement park a ride called the rotor is a cylindrical room that spins around. The riders stand against the circular wall. When the rotor reaches the necessary speed, the floor drops out and the centrifugal force keeps the riders pinned to the wall. The model that gives the speed s (in meters per second) necessary to keep a person pinned to the wall is: Where r is the radius of the rotor. Use a graphing calculator to estimate the radius of a rotor that spins at a speed of 8 meters per second.

Homework page 434, 16, 18, all, 22, 25, 32, 35