Relations and Functions I


Videos


Introduction to Relations

382

Commutative Property of Cartesian Product

113

Ordered Triplets or 3 -Tuples

178

Set Builder form of a Relation

144

Function as a Special Relation

269

Not All Relations are Functions

243

Total Number of Functions from One Set to the Other Set

213

Representation of Functions: Roster & Set Builder form

337

Representation of Functions: Graphical Method

244

Image and Pre-image

176

Domain ,Codomain and Range of a Function

284

Domain and Range of a Graph

134

Rational Functions

264

Irrational Functions

66

Domain of Rational and Irrational Functions

217

Range of Rational and Irrational functions Using Graph

335

Practice: Representation of Relations

34

Properties of Greatest Integer Function: [x]>n implies x>=n+1

162

Properties of Greatest Integer Function: [x] ≤ n ⇒ x<n+1 & [x]<n ⇒ x<n

201

Properties of Greatest Integer Function: [x]=[x/2]+[(x+1)/2]

146

Properties of Greatest Integer Function: [x]+[y] ≤ [x+y] ≤ [x]+[y]+1

356

Properties of Fractional Part Function:{x}=x for 0<=x<1 & {x}=0 for x in Z

163

Properties of Fractional Part Function:{-x}=1-{x} x not in Z

196

Properties of Fractional Part Function:{x+-n}={x}, n in Z

242

Introduction to Exponential Function with a>1

318

Domain and Range of Exponential Function

156

Comparing Function Values at Two Points for a>1

168

Graph, Domain and Range of the Exponential Function with 0<a<1

247

Comparing Graphs of Exponential Functions where a>1 and 0<a<1

156

Definition & Introduction of Logarithmic function

287

Graph,Domain, Range of Logarithmic Function

200

Properties of Logarithmic Function - I

80

Properties of Logarithmic Function - II

94

Properties of Logarithm Involving Inequalities

175