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Sets

Domain and Range of function y = sqrt(1-x^2)

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

Editorial TeamJanuary 2, 2020January 2, 2020 Domain and Range of a Function, Functions, Mathematics, Real Valued Functions No Comments Read more

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.

Editorial TeamDecember 22, 2019January 2, 2020 Functions, Mathematics, Sets No Comments Read more

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

Editorial TeamDecember 21, 2019December 26, 2019 Mathematics, Set Theory, Sets No Comments Read more

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 .

Editorial TeamDecember 19, 2019January 2, 2020 Even and Odd functions, Even functions, Functions, Mathematics, Odd functions No Comments Read more

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

Editorial TeamDecember 2, 2019January 2, 2020 Functions, Mathematics, Real Valued Functions, Sets No Comments Read more

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

Editorial TeamDecember 2, 2019January 2, 2020 Functions, Mathematics, Sets No Comments Read more

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 .

Editorial TeamDecember 1, 2019January 2, 2020 Even and Odd functions, Even functions, Functions, Mathematics, Odd functions, Sets No Comments Read more

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