{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

PP Section 3.2

# PP Section 3.2 - The Graph of a Function Definition When a...

This preview shows pages 1–16. Sign up to view the full content.

The Graph of a Function

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

View Full Document
Definition When a function is defined by an equation in x and y, the graph of the function is the graph of the equation, that is, the set of all points (x,y) in the xy-plane that satisfies the equation.
Examples Graph of y = 3x + 2 Graph of y = | x |

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

View Full Document
A set of points in the xy -plane is the graph of a function if and only if any vertical line intersects the graph in at most one point. Vertical Line Test
x y Example: Does the following graph represent a function? The graph does not represent a function, since it does not pass the vertical line test.

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

View Full Document
Example: Does the following graph represent a function? The graph does represent a function, since it does pass the vertical line test. x y
Learning from the Graph The graph of f(x) is given. Find the domain and range. Domain = [0, 9] Range = [1, 26] Estimate f(4) f(4) = 16

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

View Full Document
Does the graph below represent a function? 4 0 -4 (0, -3) (2, 3) (4, 0) (10, -3) (1, 0) x y (7, -3) Yes
For which x is f (x)=0? 4 0 -4 (0, -3) (2, 3) (4, 0) (10, -3) (1, 0) x y (7, -3) For x =1 and for x = 4.

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

View Full Document
The following functions will be used throughout the text. Be able to recognize the shape of each graph

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

View Full Document

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

View Full Document

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.

{[ snackBarMessage ]}

### Page1 / 16

PP Section 3.2 - The Graph of a Function Definition When a...

This preview shows document pages 1 - 16. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online