Intermediate Algebra (11th edition)

REVIEW EXERCISES

CHAPTER 11

11.1 Graph each function.

1. 2.

3. 4.

11.2 Write an equation for each circle.

5.Center , 6.Center , 7.Center ,

Find the center and radius of each circle.

8. 
   
   
   
   9. 
      
   
   
   
   


9. 
   
   
   
   11. 
       
   
   
   
   

Graph each equation.

12. 
    
    
    
    13. 
        
        
        
        14. 
            
        
        
        
        
    
    
    
    

15.A satellite is in an elliptical orbit around

Earth with perigee altitude of 160 km and

apogee altitude of 16,000 km. See the

figure. (Source:Kastner, Bernice, Space

Mathematics,NASA.) Find the equation

of the ellipse. (Hint:Use the fact that

here.)

16. (a)The Roman Colosseum is an ellipse with
    and. Find the distance, to the nearest tenth,
    between the foci of this ellipse.
    (b)The approximate perimeter of an ellipse is given by

where aand bare the lengths given in part (a). Use this formula to find the

approximate perimeter, to the nearest tenth, of the Roman Colosseum.

11.3 Graph each equation.

17. 18. 19.

Identify the graph of each equation as a parabola, circle, ellipse,or hyperbola.

20. 
    
    
    
    21. 
        
    
    
    
    


21. 
    
    
    
    23. 24.x=y^2 + 4 25.x^2 - y^2 = 64
    
    
    
    

y^2 = 2 x^2 - 8 y^2 = 8 - 2 x^2

x^2 +y^2 = 64 y= 2 x^2 - 3

ƒ 1 x 2 =- 216 - x^2

y^2

25

-

x^2

4

= 1

x^2

16

-

y^2

25

= 1

PL 2 p

B

a^2 +b^2

2

,

b=^5132 ft

a=310 ft

c^2 =a^2 - b^2

x^2

49

+

y^2

25

= 1

x^2

16

+

y^2

9

x^2 +y^2 = 16 = 1

2 x^2 + 2 y^2 + 4 x+ 20 y=- 34 4 x^2 + 4 y^2 - 24 x+ 16 y= 48

x^2 +y^2 + 6 x- 4 y- 3 = 0 x^2 +y^2 - 8 x- 2 y+ 13 = 0

1 - 2, 4 2 r= 3 1 - 1, - 32 r= 5 1 4, 2 2 r= 6

ƒ 1 x 2 = 2 x+ 3 ƒ 1 x 2 =x - 2

ƒ 1 x 2 =

1

x- 4

ƒ 1 x 2 =|x+ 4 |

Earth

NOT TO SCALE

Satellite

Apogee

16,000 km

Perigee

160 km

a

b

672 CHAPTER 11 Nonlinear Functions, Conic Sections, and Nonlinear Systems