10 3 C Graphs of Radical Equations If

  • Slides: 18
Download presentation
10 -3 C Graphs of Radical Equations If you do not have a calculator,

10 -3 C Graphs of Radical Equations If you do not have a calculator, please get one from the back wall! The Chapter 10 test is a NON calculator test! Algebra 1 Glencoe Mc. Graw-Hill Linda Stamper

A square root function is defined by the equation A function is a rule

A square root function is defined by the equation A function is a rule that establishes a relationship between two quantities, called the input and the output. The collection of all input values is the domain of the function and the collection of all output values is the range of the function. When finding the domain and range of a square root function, remember a square root is defined only when the radicand is non-negative.

Graph . Set up a table of values. What is the domain of this

Graph . Set up a table of values. What is the domain of this function? (What values should you choose for x? ) Why can’t you choose a negative value?

Graph . Set up a table of values. Graph these What ispoints. the is

Graph . Set up a table of values. Graph these What ispoints. the is the domain. What of this range of this function? (What valuesfunction? should you will be choosevalues for x? ) generated for y? ) Domain is all real numbers > 0. Range is all real numbers > 0.

Graph . Set up a table of values. y • • • Connect the

Graph . Set up a table of values. y • • • Connect the Calculate another point. Can you find You need to find the endpoint of one without using the graph. To find the endpoint your calculator? set the expression under the radical equal to zero and solve points with for a x. smooth That willcurve. give the x coordinate of the endpoint. • x

Do NOT use a calculator for the rest of the lesson!

Do NOT use a calculator for the rest of the lesson!

What is the endpoint for the graph ? Endpoint at (0, 0) To find

What is the endpoint for the graph ? Endpoint at (0, 0) To find the endpoint set the expression under the radical equal to zero and solve for x. That will give the x coordinate of the endpoint What value is generated when you calculate Calculate anotherthe value of y? point without using your calculator?

What is the endpoint for the graph ? Endpoint at (0, 0) What is

What is the endpoint for the graph ? Endpoint at (0, 0) What is the domain and range of the graph? Domain is all real numbers < 0. Range is all real numbers > 0. Graph these points.

What is the endpoint for the graph ? Endpoint at (-5, 0) What is

What is the endpoint for the graph ? Endpoint at (-5, 0) What is the domain and range of the graph? Domain is all real numbers > -5. Since you want the radicand to be zero, set Range is all real numbers > the expression under the What value generated radical equal to iszero and Choose another value forwhen you calculate the solve for x. x that you can easily value of y? calculate the y value in your head? Graph these points. 0.

What is the endpoint for the graph ? Endpoint at (-2, 0) want the

What is the endpoint for the graph ? Endpoint at (-2, 0) want the What Since is theyou domain and range radicand to be zero, set of the graph? the expression under the radical to zero and Domain is equal all real numbers solve for x. > -2. Range is all real numbers > 0. What value is generated Choose another value forwhen you calculate the x that you can easily value of y? calculate the y value in your head? Graph these points.

Graph Example 1 Example 2 Example 3 Copy all of the above on you

Graph Example 1 Example 2 Example 3 Copy all of the above on you paper before you begin to graph. To graph functions involving square roots you must find the endpoint!

Example 1 Graph Your graph must include the endpoint. Set up a table of

Example 1 Graph Your graph must include the endpoint. Set up a table of values. Endpoint at (0, 0) Whereand is the What is the domain range of the graph? endpoint? Domain is all real numbers > 0. Range is all real numbers < 0.

Example 1 Graph Your graph must include the endpoint. Set up a table of

Example 1 Graph Your graph must include the endpoint. Set up a table of values. • • y x •

Example 2 Graph Your graph must include the endpoint. Set up a table of

Example 2 Graph Your graph must include the endpoint. Set up a table of values. Endpoint at (0, 3) Where is the What is the domain and range endpoint? of the graph? Domain is all real numbers > 0. Range is all real numbers > 3.

Example 2 Graph Your graph must include the endpoint. Set up a table of

Example 2 Graph Your graph must include the endpoint. Set up a table of values. • y • • x

Example 3 Graph Your graph must include the endpoint. Set up a table of

Example 3 Graph Your graph must include the endpoint. Set up a table of values. Endpoint at (-3, 0) Since you want the What is the to domain andset range radicand be zero, the graph? expression under the of the radical equal to zero and for x. Domain is solve all real numbers >-3. Range is all real numbers > 0.

Example 3 Graph Your graph must include the endpoint. Set up a table of

Example 3 Graph Your graph must include the endpoint. Set up a table of values. • • • y • x

10 -A 12 Page 544 # 33 -38 and Page 547 # 1– 9.

10 -A 12 Page 544 # 33 -38 and Page 547 # 1– 9.

RADICAL Are you a Radical RADICAL RADICAL StormsRADICAL Are you a Radical RADICAL RADICAL Storms
Radical Reconstruction Radical Reconstruction Period when Radical RepublicansRadical Reconstruction Radical Reconstruction Period when Radical Republicans
RADICAL Becoming Radical RADICAL Our lives could becomeRADICAL Becoming Radical RADICAL Our lives could become
Learning Target I CAN solve radical equations RadicalLearning Target I CAN solve radical equations Radical
Objective Solve radical equations A radical equation containsObjective Solve radical equations A radical equation contains
Solving Radical Equations 4 A 3 Solving RadicalSolving Radical Equations 4 A 3 Solving Radical
Linear Equations Standard Form Graphs to equations EquationsLinear Equations Standard Form Graphs to equations Equations
Topic EQUATIONS Simple Equations Fractional Equations Guidelines EquationsTopic EQUATIONS Simple Equations Fractional Equations Guidelines Equations
Addition Equations Subtraction Equations Multiplication Equations Division EquationsAddition Equations Subtraction Equations Multiplication Equations Division Equations
Equations and Inequalities College Algebra Radical Equations ExtraneousEquations and Inequalities College Algebra Radical Equations Extraneous
Solving Equations Solving Radical Equations and Inequalities HowSolving Equations Solving Radical Equations and Inequalities How
Unit 6 Radical equations Solve System of equationsUnit 6 Radical equations Solve System of equations
Solving Radical Equations 4 3 Solving Equations andSolving Radical Equations 4 3 Solving Equations and
Digital Lesson Solving Radical Equations Equations containing variablesDigital Lesson Solving Radical Equations Equations containing variables
Solving Equations Solving Radical Equations and Inequalities WarmSolving Equations Solving Radical Equations and Inequalities Warm
Introduction to Graphs Graphs an overview vertices GraphsIntroduction to Graphs Graphs an overview vertices Graphs
Graphs Graphs Applications of DepthFirst Search Undirected graphsGraphs Graphs Applications of DepthFirst Search Undirected graphs