Relations and Functions
No batch is running yet. Tell us when you’d attend and we’ll open one. You’ll see the time and the price before you pay.
Is this the one you’re stuck on?
Everything a batch would cover. Scan the ten parts, then read into the one that’s yours.
Real Numbers and Inequalities
- intervals as a subset of set R
- inequalities
- sign scheme method
- modulus of a real number
- modulus of addition and subtraction
Relations
- domain range and codomain of a relation
- number of relations
- types of relation
Functions
- domain codomain and range of a function
- function as a relation between independent and dependent variables
- vertical line test
- elementary functions
- identical functions
- piecewise functions
- algebra of functions
Types of Functions
- one-one and many-one functions
- onto and into functions
Standard Functions
- algebraic and quadratic functions
- trigonometric functions
- inverse trigonometric functions
- exponential and logarithmic functions
- greatest integer function
- fractional part function
- signum function
- maximum and minimum functions
Even and Odd Functions
- even function
- odd function
- even and odd extension
Periodic Functions
- period of elementary functions
- period of transformed functions
- period of composite functions
- period from algebraic operations
Composite and Inverse Functions
- injective and surjective nature of composite functions
- inverse functions and their properties
Functional Equations
- finding the value of a function
- finding the function
- properties of functions
Transformation of Graphs
- vertical and horizontal shift
- horizontal and vertical stretch or squeeze
- vertical and horizontal flip
- transformation related to modulus
- graph involving the greatest integer function
You don’t have to just listen.
“Sir, I don’t understand why we used this equation here.”
“Let’s go back one step. Look at what’s rotating.”
Ask your question. Stop the teacher. Ask them to explain it another way.
- 42 subtopics
No batch scheduled yet. Tell us and we’ll open one.
Tell us what you need and we’ll open a new batch to suit it.
A teacher who doesn’t fully own a chapter teaches it half-convincingly, and you absorb the hesitation.
Learn it from someone who owns it, and you absorb their certainty instead.