Section 1.1 Graphs and Graphing Utilities

Points and Ordered Pairs

Plot points on the rectangular coordinate system Plot points on the rectangular coordinate system. Plot the x coordinate first then the y coordinate. This is an ordered pair of real numbers. (x,y)

Plot the following points: (-4,3), (-1,-1), (0,3), (2,-4), (3,0) Example

Graphs of Equations

The graph of an equation in two variables is the set of all points whose coordinates satisfy the equation. x y -2 1 -1 -3 2

Example Graph the following equation and construct a table: x y

Intercepts

x y For the x intercept, the y-coordinate is 0. ( ,0) For the y intercept, the x-coordinate is 0. ( 0, ) x y What are the x and y intercepts?

Find the x and y intercepts and graph the equation after plotting a few more points. Example x y

Interpreting Information Given by Graphs

What is the desirable heart rate of a 20 year old woman during exercise? What is the desirable heart rate of a 20 year old man during exercise?

Find the x and y intercepts for the equation ? (b) (c) (d)

x y -2 -1 1 2 Graph the following equation by letting x=-2,-1,0,1,2. 1 2 (b) (c) (d)