1. 1.A Function and a Point 2.Equation of a line between 2 points 3.A point on the graph of a function 4.Information from a function’s graph 5.Symbols on a graph 6.Examples 1.A Function and a Point 2.Equation of a line between 2 points 3.A point on the graph of a function 4.Information from a function’s graph 5.Symbols on a graph 6.Examples Agenda: Feb. 11 Last day to apply for CU Succeed ID HW Check Lesson 2.2 Quiz tomorrow: 2.1-2.2 2.2 The Graph of a Function

2. 1. The Graph of a function corresponds to a point on the graph corresponds to a point on the graph

3. The Graph of

4. Point on graph Function Value 2. A Function and a Point

5. 3. Equation of a line between points Suppose and are points on a line. Find the equation for the line

6. 4. Graph of a Function – algebraic approach

7. Suppose Example: Given the algebraic representation of the function

8. 5. Graph of a Function – Given the graph of the function

9. 5. Example 2

10. Example 2 Given the graph, find the following: 1) 2) 3) 4) What is the domain of f ? 5) What is the range of f ? 6) List the intercepts of f 7) How often does the line y = 1 intersect the graph? 8) For what values of x does f (x) = 6 ? 9) For what values of x is f (x) > 0 ?

11. Example 2 1) 2) 3) 4) What is the domain of f ? 5) What is the range of f ?

12. Example 2 6) List the intercepts 7) How often does the line y = 1 intersect the graph? 8) For what values of x does f (x) = 6 ? 9) For what values of x is f (x) > 0 ?

13. 5. Symbols on a Graph Symbols on a graph

14. Motion of a Golf Ball A golf ball is hit with an initial velocity of 130 ft/sec. modeled by: 1) Determine the height of the golf ball after it has traveled horizontally 50 ft. 2) Determine how far it has traveled when the height is 80 ft using a graphing calculator.

15. Homework 23: p. 76 #9, 10, 14, 23,24, 25 And handout #71-76 and 81-91 (odd).

16. Suppose graph using the calculator