1. Precalculus Functions & Graphs Notes 2.4 Definition of Functions Purple Pink Red Green White Blue 1 $1 50 25 10 5 Mapping or Correspondence DomainRange Domain - what goes in.Range - what comes out.

2. Precalculus Functions & Graphs Notes 2.4 Definition of Functions Purple Pink Red Green White Blue 1 $1 50 25 10 5 Mapping DomainRange

3. Precalculus Functions & Graphs Notes 2.4 Definition of Functions Purple Pink Red Green White Blue 1 $1 50 25 10 5 Mapping DomainRange Do you think this mapping is fair? Why or why not?

4. Precalculus Functions & Graphs Notes 2.4 Definition of Functions Purple Pink Red Green White Blue 1 $1 50 25 10 5 Mapping DomainRange Do you think this mapping is fair? Why or why not? $2

5. Precalculus Functions & Graphs Notes 2.4 Definition of Functions Purple Pink Red Green White Blue 1 $1 50 25 10 5 Mapping DomainRange Do you think this mapping is fair? Why or why not? Yellow

6. Precalculus Functions & Graphs Notes Function 2.4 Definition of Functions Domain Range

7. f(x 1 ) TerminologyDefinitionGraphical Interpretation f is increasing on an interval I. f is decreasing on an interval I. f is constant on an interval I. Precalculus Functions & Graphs Notes 2.4 Definition of Functions x1x1 x2x2 f(x 2 ) x1x1 x2x2 f(x 1 ) f(x 2 ) x1x1 x2x2 f(x 1 ) f(x 2 )

8. Precalculus Functions & Graphs Example #1 If a and h are real numbers, find: 2.4 Definition of Functions

9. Precalculus Functions & Graphs You Try #1 If a and h are real numbers, find: 2.4 Definition of Functions This is not multiple choice just enter the answer.

10. Precalculus Functions & Graphs You Try #2 If a and h are real numbers, find: 2.4 Definition of Functions This is not multiple choice just enter the answer.

11. Precalculus Functions & Graphs You Try #3 If a and h are real numbers, find: 2.4 Definition of Functions This is not multiple choice just enter the answer.

12. Precalculus Functions & Graphs Example #2 If a and h are real numbers, find: 2.4 Definition of Functions

13. Precalculus Functions & Graphs Example #2 Continued If a and h are real numbers, find: 2.4 Definition of Functions

14. Precalculus Functions & Graphs Example #3 If a is a positive real number, find: 2.4 Definition of Functions

15. Precalculus Functions & Graphs You Try #4 If a is a positive real number, find: 2.4 Definition of Functions Not a Quizdom Question

16. Precalculus Functions & Graphs Example #4 Explain why the graph is or is not the graph of a function. 2.4 Definition of Functions

17. Precalculus Functions & Graphs You Try #5 Is the graph the graph of a function, yes or no? 2.4 Definition of Functions

18. Precalculus Functions & Graphs Example #5 Determine the domain D and the range R of the function? 2.4 Definition of Functions

19. Precalculus Functions & Graphs You Try #6 Determine the domain D and the range R of the function? 2.4 Definition of Functions Answer choices will appear after you have had time to work the problem.

20. Precalculus Functions & Graphs Example #6 Find the domain of f. 2.4 Definition of Functions

21. Precalculus Functions & Graphs Example #7 Sketch the graph of f. Find the domain D and range R of f. Find the intervals on which f is increasing, is decreasing, or is constant. 2.4 Definition of Functions

22. Precalculus Functions & Graphs You Try #7 Sketch the graph of f. Find the domain D and range R of f. Find the intervals on which f is increasing, is decreasing, or is constant. 2.4 Definition of Functions Not a Quizdom Question