mac1147_lecture10_1_b

# mac1147_lecture10_1_b - L10 Graphs Properties and Library...

This preview shows pages 1–4. Sign up to view the full content.

117 L10 Graphs, Properties, and Library of Functions; Graphing Techniques: Transformations The graph of a relation in x and y is the set of all points in the xy -plane that correspond to the ordered pairs ( , ) x y . If a relation is a function, then for every x in the domain there is only one y , ( ) yf x = , in the range. With respect to the graph it means that a vertical line x a = either intersects the graph at one point ( , ( )) afa (if a is in the domain of f ) or x a = does not intersect the graph at all (if a is not in the domain of the function). Thus, we have obtained: Vertical Line Test A set of points ( , ) x y in the xy -plane is the graph of a function if and only if every vertical line intersects the graph at no more than one point.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
118 Example: Use the vertical line test to determine which of the graphs given below represent functions.
119 Even and Odd Functions A function () f x is called even if, for every x in the domain of f , x is also in the domain and ( ) fx f x = . The graph of an even function is symmetric with respect to the y-axis . 2 x = A function f x is called odd if, for every x in the domain of f , x is also in the domain and ( ) f x =− .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 11/07/2011 for the course MAC 1147 taught by Professor German during the Summer '08 term at University of Florida.

### Page1 / 15

mac1147_lecture10_1_b - L10 Graphs Properties and Library...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online