Function - 1

Meeting 2

Definition of Function

Examples

Domain

Domain of a function is the set of all inputs for the function.

Examples

The graph of a function helps us picture the domain and range of the function on the x-axis and y-axis

Exercises

Polynomial Function

Functions defined by polynomial expressions are called polynomial functions

Polynomial functions are easy to evaluate because they are defined using only addition, subtraction, and multiplication

If a polynomial consists of just a single term, then it is called a monomial.

The graph of a polynomial function is always a smooth curve; that is, it has no breaks or corners.

Quadratic FunctionsA quadratic function is a function f of the form

𝑓 (𝑥 )=𝑎𝑥2+𝑏𝑥+𝑐

Examples

Rational Function

A rational function is a function of the form

The domain of a rational function consists of all real numbers x except those for which the denominator is zero.

Example

Exponential Function

Example

Logarithmic Function

The function has domain and range .

Examples

Exercises

Exponential and Logarithmic Equations

Example

Example