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