Practice Questions on Even Functions
Question 1: Check whether following functions are even or not:
- 2x4+x2+5
- cos(3x)
- ex
- sin2x + tan2x
- sin(2x)
Question 2: Prove that following functions are even functions:
- 4x2 + cos(x)
- 1 – 2sin2(x)
Question 3: Determine whether following function is even or not: f(x) = x4 + 2x + 1.
Question 4: State whether following function is even or not: g(x) = cos(x3).
Question 5: Prove that following function is even: 4cos3x – 3cos(x).
Even Function
Even function is defined as a function that follows the relation f(-x) equals f(x), where x is any real number. Even functions have the same range for positive and negative domain variables. Due to this, the graph of even functions is always symmetric about the Y-axis in cartesian coordinates.
In this article, we will learn about even functions, their examples, properties, graphical representation of even functions, some solved examples, and practice questions related to even functions.
Table of Content
- What is an Even Function?
- Graphical Representation of an Even Function
- Properties of an Even Function
- Even Function and Odd Function Difference