Characteristics and Traits of Graphs

Domain- The set of all first coordinates (x) of a relation or function.

Range- The set of all coordinates (y) of the relation or function.

End behavior- The appearance of a graph as it is followed farther and farther in either direction.

Absolute Max-The highest point over the entire domain of a function or relation.

Absolute Min- The lowest point over the entire domain of a function or relation.

Local Max- It is a greatest value in a set of points but not highest when compared to all values in a set.

Local Min- Lowest value in a set of points but not the lowest when compared to all the values in a set.

Interval of Increase- An interval of increase is an interval where the function's slope is positive.

Interval of Decrease- An interval of decrease is an interval where a function's slope is negative.

X Intercept- When you have a linear equation, the x-intercept is the point where the graph of the line crosses the x-axis.

Y Intercept- When you have a linear equation, the y-intercept is the point where the graph of the line crosses the y-axis.

Symmetry- the quality of being made up of exactly similar parts facing each other or around an axis.

Even- Symmetry about the y-axis.

Odd- Origin Symmetry.

Neither- neither even or odd.

Asymptotes- a line that continually approaches a given curve but does not meet it at any finite distance.

Function- A function is a special relationship between values: Each of its input values gives
back exactly one output value

One to one- A function for which every element of the range of the function corresponds to exactly one element of the domain.