Worksheet 4 Name Problems 1-2. Is the relation a fun.docx
- 1. Worksheet 4 Name: Problems 1-2. Is the relation a function? Determine the relation’s domain and range. 1) {(red, 3), (blue, 3), (green, 3)} 2) {(1,3), (2,4), (3, 5), (2,6)} Problems 3-4. Evaluate. 3) 4) , 2 ( ) 2, 2 x x g x x x
- 2. Problems 5-8. Is � a function of �? Problems 9-14. Find domain, write in interval notation. 9) 2 4 ( ) 22 x f x 3 2 2 ( )
- 3. 9 x f x x 11) 2 2 ( ) 7 12 x f x x x
- 4. 12) 2 ( ) 3 x f x x 13) 2 , 2 ( ) 5, 2 x x f x x 14) 5 ( )
- 5. ( 2)( 25) x f x x x x Problems 15-18. Graph. 15) 3, 4 ( ) 2, 4 x f x x 16)
- 6. 3 , 2 ( ) 1 1, 2 2 x x g x x x 17) 3, 3 ( ) 2, 3 2
- 7. 3, 2 x x h x x x x 18) 3, 3 1 ( ) 1, 3 3 3 2, 3 x x f x x x x x
- 8. Problems 19-22. Determine if the function is even, odd, or neither. Show work. 19) 3 1( )f x x x 21)
- 9. Problems 23-26. A function is given. Determine the average rate of change of the function between the given values of the variable. 24) 25) 1 ( ) ; 2, 3 1 g x x x x 26) 2 ( ) ; 0, 3 f x x x h x
- 10. 27) The following table shows the number of CD players sold in a small electronics store in the years 1996- 2000. Use the table to answer the following questions. a) What was the average rate of change of sales between 1996 and 2000? b) What was the average rate of change of sales between 1998 and 1999? c) Between which two successive years did CD player sales increase most quickly? Year CD Players Sold 1996 410 1997 468 1998 510 1999 590
- 11. 2000 607 28) Use the graph below to answer the following questions. Function? ____________ Domain: ____________ Range: ____________ 29) Use the graph below to answer the following questions. Function? ________ F(-2)=__________ Domain: ________ Where is F increasing? ________________ Range: ________ Where is F decreasing? ________________
- 12. Are there any absolute extrema? If so, describe. 30) Use the graph below to answer the following questions. Function? ___________ Domain: ___________ Range: ___________ f(-2)=_______________ f(4)=______________ f(2.46)=__________ Intercepts: _____________________________________________________ ________ Where is f increasing? ________________________ Where is f decreasing? ________________________ Local Maximum(s): __________________________ Local Minimum(s): ___________________________ Are there any absolute extrema? If so, describe. For what values of x does f(x)=0?
- 13. 31) Use the graph below to answer the following questions. Function? __________ f(0) = ____________ Domain: __________ Intercepts: ____________ Range: __________ ____________ For what values of x does f(x)=-1? Where is f increasing? Use interval notation. Where is f decreasing? Use interval notation. Local minimums: ___________________ Local maximums: ___________________ Are there any absolute extrema? If so, describe.
- 14. If you feel that you need additional practice on this material attempt the following book problems or Unit 2 Additional Practice Worksheets: (Book) Section 3.1: 9-37 (odd), 41-59 (odd) (Book) Section 3.2: 7-45 (odd) (Book) Section 3.3: 5-33 (odd) (Unit Two Additional Practice WS) Average Rates of Change (Unit Two Additional Practice WS) Continuity (Unit Two Additional Practice WS) Extrema, Increase and Decrease (Unit Two Additional Practice WS) Piecewise Functions (Unit Two Additional Practice WS) Evaluating Functions