1. Section 1.1 Graphs and Graphing Utilities

2. Points and Ordered Pairs

3. 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)

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

5. Graphs of Equations

6. 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

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

8. Intercepts

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

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

11. Interpreting Information Given by Graphs

12. 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?

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

14. x y -2 -1 1 2 Graph the following equation by letting x=-2,-1,0,1,2.1 2
(b)
(c) (d)