Wednesday, January 15, 2014

Characteristics and Traits of a Graph

The descriptions for each is posted below.



Domain- X-Values
Range- Y-Values

End Behavior- Describing the two ends of the graph. While X approaches negative infinity, Y approaches negative infinity. While X approaches positive infinity, Y approaches positive infinity and vice versa in another situation.
x→∞, y→∞. x→-∞,y→-∞


Absolute Max/Min- 1 point that has the highest/lowest point on a graph. 
A specific point on the graph.

Local Max/Min- More than 1 point on a graph at its highest/lowest point.

Interval of Increase- Section of a graph where the y-values increase.
Interval of Decrease- Section of a graph where the y-values decrease.

X-Intercept- Where the line(s) cross over the x-axis.
Y-Intercept- Where the line(s) cross over the y-axis.

Symmetry- Even/Odd/Neither
Even- The graph is symmetrical over the y-axis.
Odd-  The graph is symmetrical about the origin.
Neither- The graph is not symmetrical at all.

Asymptotes- Imaginary line that the graph gets closer and closer too but never touches.

Function- The graph passes the vertical line test. The equation only has 1 x-value per y-value.
One to One- The graph pass the vertical and horizontal line test.