Functions

$$

f: A \rightarrow B

\newline

A: Domain

\newline

B: Co-domain

$$

Not fully mapped function: Not ONTO function

Onto fn: \(R_f = co-domain\ of\ f\)

Inverse functions

Only if function is 1-1

Image

Im = Rf = {}

Image of element 0 in set A is 1 in set B

Real numbers

$$

f: R \rightarrow R

\newline

D_f = {x: x \in R}

\newline

R_f = {x: x \in R}

\newline

R_f \subseteq co-domain of f

$$

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Last update: June 11, 2023
Created: June 11, 2023