Functions (Theory of)

Describing functions

Defining Functions and Relations

Evaluating Functions

Odd and Even Functions

Domain and Range

Domain of Continuity

Restrict Domains for a Function

Functional relations to describe properties

Sum, Difference, Product and Quotient of Functions

Algebra of Functions

Composite Functions

Graphs of Composite Functions

Class XI

Defining Functions and Relations

Interactive practice questions

True or False?

When working with a function, substituting a certain value of $x$x into the formula gives only one value of $y$y for that value of $x$x.

True

A

False

B

Easy

< 1min

What is the name used to describe a graph where for some value of $x$x, there exists two or more different values of $y$y?

Easy

< 1min

True or False?

A horizontal line can intersect the graph of a function at more than one point.

Easy

< 1min

Consider the following statement:

All relations are functions.

Easy

< 1min

Outcomes

11.SF.RF.2

Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, co-domain and range of a function. Real valued function of the real variable, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum and greatest integer functions with their graphs. Sum, difference, product and quotients of functions.

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