Domain and range

Even-Odd Functions

Interval of increase and decrease

Analyzing graphs of functions

The complete set of possible values of the independent variable.

The complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

Example

Example

Minimum And Maximum

Zeros of a Function

Functions

Interval of

There are 2 main ways to determine the maximum and minimum of a functions

Intervals of increase and decrease are the domain of a function where its value is getting larger or smaller, respectively.

Example

Example

Remember

Remember

Visually

The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph. The minimum value of a function is the place where the graph has a vertex at its lowest point.

When you have the equation y = ax^2 + bx + c.

The zero of a function is any replacement for the variable that will produce an answer of zero.