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

Describing functions

Interactive practice questions

Consider the function $y=4x-3$y=4x−3.

a

What is the independent variable of the function?

b

What is the dependent variable of the function?

Easy

< 1min

For a function $f$f, what does $f\left(3\right)$f(3) represent?

Easy

< 1min

Which of the following is true?

Select all the correct statements.

Easy

< 1min

The graph shows $Charlie$ 's speed while he is competing in a $bike$ race. Which situation corresponds to the graph?

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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