Function - 1 Meeting 2. Definition of Function.

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Presentation transcript:

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 Functions A quadratic function is a function f of the form

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

Examples

Exercises

Exponential and Logarithmic Equations

Example