Continuity at End Points
Concept Overview A function is defined on an interval. If the function has endpoints (like ([a, b])), we cannot check
Continuity of a Function Example 3
Practice Questions — Continuity at a Point Question 1. Check the continuity of $ \displaystyle f(x)=\left\{ {\begin{array}{*{20}{c}} {2x+3,} & {x<0}
Continuity of a Function Example 1
Question 1 Discuss continuity of $ \displaystyle f(x)=\left\{ \begin{array}{l}x+1,\text{ }x<1\\2,\text{ }\text{ }x<1\\{{x}^{2}},\text{ }x\ge 1\end{array} \right.$ at [x = 1]. Solution
Continuity of a Function
1. Statement of the Concept — What is Continuity of a Function? A function [f(x)] is continuous on an interval
Introduction to Continuity
1. Concept Overview: What is Continuity? A function is said to be continuous at a point if its graph has
How to find Domain of a Function
1. Concept Overview Finding the domain of a function means identifying all values of [x] for which the function is
Composite Function
1. Introduction In real life, one process often happens after another. For example: First converting temperature from Celsius to Fahrenheit
Determine the nature of the function for even and odd function
1. Objective To check whether a given function is: Even Odd Neither even nor odd 2. Standard Method (Step-by-Step) Step