Graphing Cubed Roots Without a Calculator Objective: You should be able to graph cubed root functions (including their changes) without a calculator.

Slides:

Advertisements

Similar presentations

Write equation or Describe Transformation. Write the effect on the graph of the parent function down 1 unit1 2 3 Stretch by a factor of 2 right 1 unit.

Advertisements

GRAPHING CUBIC, SQUARE ROOT AND CUBE ROOT FUNCTIONS.

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

EXAMPLE 1 SOLUTION STEP 1 Graph a function of the form y = a x Graph the function y = 3 x and identify its domain and range. Compare the graph with the.

Quadratic Functions Unit Objectives: Solve a quadratic equation. Graph/Transform quadratic functions with/without a calculator Identify function attributes:

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.

2.1 Domain and Range. Vocabulary ● Relation – A relation is a general term for any set of ordered pairs. ● Function – A function is a special type of.

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.

Exponential Growth and Decay Functions. What is an exponential function? An exponential function has the form: y = ab x Where a is NOT equal to 0 and.

6.5 - Graphing Square Root and Cube Root

Algebra 2: Checkpoint 6.3 & Let f(x)=5x-3 and g(x)= -x Find the following. a. g(f(-2))b. f(g(x)) 2. Find the inverse of each function. a.

EXAMPLE 1 Find an inverse relation Find an equation for the inverse of the relation y = 3x – 5. Write original relation. y = 3x – 5 Switch x and y. x =

Graph 8 a. Graph b. Domain _________ c. Range __________

Modules 12, 13, 14, 15 October 23,  Logs and exponentials are inverses of each other and can be rewritten in this way:  We can use the opposite.

Warm Up Identify the domain and range of each function.

EXAMPLE 2 Graph an exponential function Graph the function y = 2 x. Identify its domain and range. SOLUTION STEP 1 Make a table by choosing a few values.

7.5 Graphs Radical Functions

Section 6.5 Graph Square Root and Cube Root Functions.

Lesson 6.5, For use with pages

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

Graphing Reciprocal Functions

7.5 – Graphing Square Roots and Cube Roots

Day 6 Pre Calculus. Objectives Review Parent Functions and their key characteristics Identify shifts of parent functions and graph Write the equation.

4-1 Quadratic Functions Unit Objectives: Solve a quadratic equation. Graph/Transform quadratic functions with/without a calculator Identify function.

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

3.4 Properties of Logarithmic Functions

Graph Square Root and Cube Root Functions

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

Graphing Polynomials Without a Calculator Objective: You should be able to graph polynomial functions (including their changes) without a calculator.

Graphing Absolute Value Without a Calculator Objective: You should be able to graph absolute value functions (including their changes) without a calculator.

1) Why is the origin the most important point on every graph? 2) What are THREE different ways you can get from the origin to point “P”?

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,

Objective: I can understand transformations of functions.

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

EXAMPLE 1 Compare graph of y = with graph of y = a x 1 x 1 3x3x b. The graph of y = is a vertical shrink of the graph of. x y = 1 = y 1 x a. The graph.

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!

Quadratic Functions Unit Objectives: Solve a quadratic equation.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Unit 3B Graph Radical Functions

Cube Root Functions 6.3 – Day 2.

Chapter 2 Functions and Graphs

Find the x and y intercepts.

Inequality Set Notation

Graphing Square Root and Cube Root Functions

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?

Inequality Set Notation

Chapter 2 Functions and Graphs

Graphs of Quadratic Functions

7.5 Graphs Radical Functions

Lesson 5.3 Transforming Parabolas

Tables and Relations Review

Elementary Functions: Graphs and Transformations

Graph Square Root and Cube Root Functions

Parent Functions.

Graph Transformations

A graphing calculator is required for some problems or parts of problems 2000.

y x Lesson 3.7 Objective: Graphing Absolute Value Functions.

Parent Functions.

5.3 Graphing Radical Functions

Notes Over 8.3 Simplifying Natural Base Expressions

SQUARE ROOT Functions Radical functions

Tables and Relations Review

Tables and Relations Review

RELATIONS & FUNCTIONS CHAPTER 4.

Unit 4: Transformations and piecewise functions

2.1 Domain and Range.

Exponential Functions and Their Graphs

Section 5.3 Graphing Radical Functions

Presentation transcript:

Graphing Cubed Roots Without a Calculator Objective: You should be able to graph cubed root functions (including their changes) without a calculator.

Ex. Graph Domain: Range:

A function that you should automatically know how to graph without plugging it into your calculator. Domain: All reals Range: All reals

Translations to Ex. Graph Domain: Range: How do D and R change?

Reflections to Ex. Graph Domain: Range: How do D and R change?

Stretching and Shrinking Ex. Graph Ex. Domain: Range:Domain: Range: How do D and R change?

Multiple Changes to Ex. Graph Domain: Range: How do D and R change?

Multiple Changes to Ex. Graph Domain: Range: How do D and R change?

Ex. Write the equation of the graph given.