Intermediate Algebra (11th edition)

194 CHAPTER 3 Graphs, Linear Equations, and Functions

29. 30.

x

y

0

2

–2 2

y = f(x)

x

y

0

2

2

y = f(x)

x

y

0

2

2

y = f(x)

x

y

–2 02

–2

y = f(x)

31. 32.

33. 34.

Complete solution available
on the Video Resources on DVD

3.6 EXERCISES

1.Concept Check Choose the correct response: The notation means

A.the variable ƒ times 3, or 3ƒ.

B.the value of the dependent variable when the independent variable is 3.

C.the value of the independent variable when the dependent variable is 3.

D.ƒ equals 3.

2.Concept Check Give an example of a function from everyday life. (Hint:Fill in the

blanks: depends on , so is a function of .)

Let and. Find the following. See Examples 1–3.

3. 
   
   
   
   4. 
      
      
      
      5. 
         
         
         
         6. 
            
         
         
         
         
      
      
      
      
   
   
   
   


4. 
   
   
   
   8. 
      
      
      
      9. 
         
         
         
         10. 
             
         
         
         
         
      
      
      
      
   
   
   
   


5. 
   
   
   
   12. 
       
       
       
       13. 
           
           
           
           14. 
               
           
           
           
           
       
       
       
       
   
   
   
   


6. 
   
   
   
   16. 
       
       
       
       17. 
           
           
           
           18. 
               
           
           
           
           
       
       
       
       
   
   
   
   


7. 
   
   
   
   20. 
       
       
       
       21. 
           
           
           
           22. 
               
           
           
           
           
       
       
       
       
   
   
   
   

For each function, find (a) and (b). See Examples 4 and 5.

23. 
    
    
    
    24. 
        
    
    
    
    


24. 
    
    
    
    26. 
        
    
    
    
    


25. 
    
    
    
    28. 
        
    
    
    
    

ƒ= 51 - 1, 3 2 , 1 4, 7 2 , 1 0, 6 2 , 1 2, 2 26 ƒ= 51 2, 5 2 , 1 3, 9 2 , 1 - 1, 11 2 , 1 5, 3 26

ƒ= 51 - 2, 2 2 , 1 - 1, - 12 , 1 2, - 126 ƒ= 51 - 1, - 52 , 1 0, 5 2 , 1 2, - 526

ƒ 122 ƒ 1 - 12

ƒ 1 x+h 2 ƒ 1 x+h 2 - ƒ 1 x 2 ƒ 142 - g 142 ƒ 1102 - g 1102

ƒ 1 x+ 22 ƒ 1 x- 22 g 1 p 2 g 1 e 2

ƒ 1 p 2 g 1 k 2 ƒ 1 - x 2 g 1 - x 2

ƒ a g 1 0.5 2 g 1 1.5 2

7

3

ƒ a b

1

3

b

ƒ 102 ƒ 1 - 32 g 1 - 22 g 1102

ƒ 1 x 2 =- 3 x+ 4 g 1 x 2 =-x^2 + 4 x+ 1

ƒ 132

–1

2

3

5

10

15

19

27

f

2

5

–1

3

1

7

20

f

x

24

11

00

1

• 2 4


• 1

y=ƒ 1 x 2 x

86

53

20

• 4 - 6


• 1 - 3

y=ƒ 1 x 2