Find the Domain and the Range of the function Solution: For real values of , the quantity cannot be negative. Subtract from both sides of this inequality. Multiply this inequality with (Note that multiplying by a negative number reverses the

## Vertical Line Test for Functions

Vertical Line Test for a Function: Not every curve in the coordinate plane can be the graph of a function. Using vertical line test, we can figure out whether a given curve is the graph of a function or not.

## Singleton Sets

A singleton set is the one which contains only one element. Let’s see a few examples of singleton sets: 1. Set of all even prime numbers: {2} Since 2 is the only even prime number, this set has only one

## Why are even functions called ‘even’, and odd functions called ‘odd’?

Why are even functions called ‘even’, and odd functions called ‘odd’? A function is an even function of if odd function of if for every in the function’s domain. The names even and odd comes from the powers of .

## Real-Valued Functions

Consider the sets A and Z related to each other as shown below: Clearly, every element in set A is related to exactly one element in the set Z. So, the given relation is a function. The element 2 in

## What is a function in mathematics?

Functions are a tool to describe the real world in mathematical terms. > The area of a circle depends on the radius of the circle. > The distance an object travels at constant speed along a straight line path depends

## Even and Odd Functions

How to tell if a function is even, odd or neither? A function is an even function of if odd function of if for every in the function’s domain. The names even and odd comes from the powers of .

## Applications of vectors in real life

Suppose you have to lift up a cup of coffee from table by keeping your eyes closed. You don’t know the location of cup on the table. I tell you it is at one-arm distance away from you. Would you