Learning Objectives:

__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**.

** **

**Learn ‘****Determining Odd and Even Functions’ with AffordEdu.**

Interested in free assessment? Build your personalized study plan with AffordEdu through knowledge map and go for free assessment and free tuition session with math expert. *

** **

**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?*

** **

**Learn ‘Determining Odd and Even Functions’ with AffordEdu Online One on One Math Tutoring.**

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.