you are requested to write comprehensive discussion about the concepts involving

functions as a rule of one-to-one correspondence. Tackle about how a function differs from a relation.

Take illustration of functions (one for each piece wise-defined, rational and polynomial function),

represent it using a table of values and graph using graphing software (desmos.com),

determine its domain and range using set notation and interval notation,

show two given functions and apply the 4 arithmetic operations and composition of functions.

Explain also the definition and relationship of limit and continuity of a function.

Provide one clear worded application problem of a function used as a mathematical model of

any real life situation and another worded application problem involving limit/continuity of a

function with answers and complete solutions as much as possible examples allied to your course.