Determining Odd and Even Functions

Tutoring on Determining Odd and Even Functions

Learning Objectives:

Understand to Determine Odd and Even Functions.

Math Tutoring on Determining Odd and Even Functions

There are two main ways to determine if a function is even or odd. One is an Algebraic method, and the other is a Graphical method. A function is even if algebraically f of x = f of -x, and graphically the graph has symmetry across the y axis. If we are working with a polynomial function, a polynomial function will have all even exponents on the variables. For odd functions algebraically, -f of x = f of x, and graphically the graph has rotational symmetry about the origin, which means the graph remains the same after a rotation of 180. A polynomial function that is odd will have all odd exponents on the variable. Following steps are followed in math tutoring:

To reflect the point about the x axis, replace y with -y.  

To reflect the point about the y axis, replace x with -x.   

To reflect a point about the origin, replace x with -x and y with –y.

 

 

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Hook Questions:

1.    How can you determine whether a function is even or odd?

2.    What is the Algebraic method to find a function to be odd or even?

3.    What is the Graphical method to find a function to be odd or even?

 

 

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Struggling with Determining Odd and Even Functions? Need math help for homework? You are not the only one. Fortunately, our experts in math tutoring are online now and are ready to help.

 

 

 

 

 

 

 

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