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FUNCTIONS (CARTESIAN PRODUCT (RELATION as proper subset (FUNCTIONS…
FUNCTIONS
CARTESIAN PRODUCT
Either being an EMPTY set , the CP an EMPTY set
Number of elements
RELATION
as proper subset
FUNCTIONS
Image and Pre-image
Formula based (Uniformly/Non-uniformly)
Vertical line test
Domain, Co-domain and Range
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For continuous: Range = interval from max to min
Standard Types
Polynomial function
degree=N coeff=R leading coeff<>0
Even Degree
Domain and range
Odd degree
Domain and range
Odd linear, Linear, and Non-linear
Two polynomials satisfying functional rule
Algebraic function
Basic algebraic functions
Transcendental function
Exponential function
limitations
Graphs
Increasing and decreasing
Comparison
Logarithmic function
Limitations
Graphs
Entire topic of log
Trigonometric functions
Absolute value function
Signum function
Greatest Integer function
Rational function