Name: 
 

Chapter 4 Post Test



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Find the domain of the function and identify any vertical and horizontal asymptotes.

mc001-1.jpg
a.
Domain: all real numbers x except mc001-2.jpg
Vertical asymptote: mc001-3.jpg
Horizontal asymptote: mc001-4.jpg
b.
Domain: all real numbers x except mc001-5.jpg
Vertical asymptote: mc001-6.jpg
Horizontal asymptote: mc001-7.jpg
c.
Domain: all real numbers x except mc001-8.jpg
Vertical asymptote: mc001-9.jpg
Horizontal asymptote: mc001-10.jpg
d.
Domain: all real numbers x
Vertical asymptote: mc001-11.jpg
Horizontal asymptote: mc001-12.jpg
e.
Domain: all real numbers x except mc001-13.jpg
Vertical asymptote: mc001-14.jpg
Horizontal asymptote: mc001-15.jpg
 

 2. 

Find the domain of the function and identify any vertical and horizontal asymptotes.

mc002-1.jpg
a.
Domain: all real numbers mc002-2.jpg
Vertical asymptote: No vertical asymptote
Horizontal asymptote: mc002-3.jpg
b.
Domain: all real numbers except mc002-4.jpg
Vertical asymptote: mc002-5.jpg
Horizontal asymptote: mc002-6.jpg
c.
Domain: all real numbers mc002-7.jpg
Vertical asymptote: mc002-8.jpg
Horizontal asymptote: mc002-9.jpg
d.
Domain: all real numbers except mc002-10.jpg
Vertical asymptote: No vertical asymptote
Horizontal asymptote: No horizontal asymptote
e.
Domain: all real numbers except mc002-11.jpg
Vertical asymptote: mc002-12.jpg
Horizontal asymptote: mc002-13.jpg
 

 3. 

Select the graph of the rational function mc003-1.jpg.
a.

mc003-2.jpg
d.

mc003-5.jpg
b.

mc003-3.jpg
e.

mc003-6.jpg
c.

mc003-4.jpg
 

 4. 

Find the zeros (if any) of the rational function.

mc004-1.jpg
a.
mc004-2.jpg
b.
mc004-3.jpg
c.
mc004-4.jpg
d.
mc004-5.jpg
e.
mc004-6.jpg
 

 5. 

Simplifymc005-1.jpg and find any vertical asymptotes of mc005-2.jpg.

mc005-3.jpg
a.
mc005-4.jpg; Vertical asymptote: none
b.
mc005-5.jpg; Vertical asymptote: mc005-6.jpg
c.
mc005-7.jpg; Vertical asymptote: none
d.
mc005-8.jpg; Vertical asymptote: mc005-9.jpg
e.
mc005-10.jpg; Vertical asymptote: none
 

 6. 

The cost mc006-1.jpg (in millions of dollars) of removing mc006-2.jpg of the industrial and municipal pollutants
discharged into a river is given by

mc006-3.jpg.

Select the correct graph of the cost function.
a.

mc006-4.jpg
d.

mc006-7.jpg
b.

mc006-5.jpg
e.

mc006-8.jpg
c.

mc006-6.jpg
 

 7. 

The game commission introduces 100 deer into newly acquired state game lands. The population  mc007-1.jpg of the herd is modeled by

mc007-2.jpg

where mc007-3.jpg is the time in years. Find the populations when mc007-4.jpg.
(Round your answer to the nearest whole number.)
a.
mc007-5.jpg deer
b.
mc007-6.jpg deer
c.
mc007-7.jpg deer
d.
mc007-8.jpg deer
e.
mc007-9.jpg deer
 

 8. 

Determine the zeros (if any) of the rational function mc008-1.jpg.
a.
mc008-2.jpg
b.
mc008-3.jpg
c.
mc008-4.jpg
d.
mc008-5.jpg
e.
no zeros
 

 9. 

Give the domain of the function and identify any asymptotes.

mc009-1.jpg
a.
Domain: all real numbers x except mc009-2.jpg
Vertical asymptote: mc009-3.jpg
Slant asymptote: mc009-4.jpg
b.
Domain: all real numbers x except mc009-5.jpg
Vertical asymptote: mc009-6.jpg
Slant asymptote: mc009-7.jpg
c.
Domain: all real numbers x except mc009-8.jpg
Vertical asymptote: mc009-9.jpg
Slant asymptote: mc009-10.jpg
d.
Domain: all real numbers x except mc009-11.jpg
Vertical asymptote: mc009-12.jpg
Slant asymptote: mc009-13.jpg
e.
Domain: all real numbers x except mc009-14.jpg
Vertical asymptote: mc009-15.jpg
Slant asymptote: mc009-16.jpg
 

 10. 

Use the graph of mc010-1.jpg to select the graph of mc010-2.jpg.

mc010-3.jpg
a.

mc010-4.jpg
d.

mc010-7.jpg
b.

mc010-5.jpg
e.

mc010-8.jpg
c.

mc010-6.jpg
 

 11. 

Which of the following is the graph of the given equation?
mc011-1.jpg
a.
mc011-2.jpg
d.
mc011-5.jpg
b.
mc011-3.jpg
e.
mc011-6.jpg
c.
mc011-4.jpg
 

 12. 

Determine the equations of any horizontal and vertical asymptotes of mc012-1.jpg.
a.
horizontal: none; vertical: none
b.
horizontal: mc012-2.jpg; vertical: mc012-3.jpg
c.
horizontal: mc012-4.jpg; vertical: mc012-5.jpg
d.
horizontal: mc012-6.jpg; vertical: mc012-7.jpg
e.
horizontal: mc012-8.jpg; vertical: mc012-9.jpg
 

 13. 

Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin.

Focus:  mc013-1.jpg
a.
mc013-2.jpg
b.
mc013-3.jpg
c.
mc013-4.jpg
d.
mc013-5.jpg
e.
mc013-6.jpg
 

 14. 

Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin.

Focus:  mc014-1.jpg
a.
mc014-2.jpg
b.
mc014-3.jpg
c.
mc014-4.jpg
d.
mc014-5.jpg
e.
mc014-6.jpg
 

 15. 

Find the center and vertices of the hyperbola and sketch its graph, using asymptotes as sketching aids.

mc015-1.jpg
a.
Center: mc015-2.jpg
Vertices: mc015-3.jpg
mc015-4.jpg
d.
Center: mc015-11.jpg
Vertices: mc015-12.jpg
mc015-13.jpg
b.
Center: mc015-5.jpg
Vertices: mc015-6.jpg
mc015-7.jpg
e.
Center: mc015-14.jpg
Vertices: mc015-15.jpg
mc015-16.jpg
c.
Center: mc015-8.jpg
Vertices: mc015-9.jpg
mc015-10.jpg
 

 16. 

Find the standard form of the equation of the hyperbola with the given characteristics.
foci: mc016-1.jpg          asymptotes: mc016-2.jpg
a.
mc016-3.jpg
b.
mc016-4.jpg
c.
mc016-5.jpg
d.
mc016-6.jpg
e.
mc016-7.jpg
 

 17. 

Find the standard form of the equation of the parabola with the given characteristics.

mc017-1.jpg; mc017-2.jpg
a.
mc017-3.jpg
b.
mc017-4.jpg
c.
mc017-5.jpg
d.
mc017-6.jpg
e.
mc017-7.jpg
 

 18. 

Identify the center and radius of the circle.
mc018-1.jpg
a.
center: (–6, 0)          radius: 7
b.
center: (0, –6)          radius: 49
c.
center: (0, 6)          radius: 49
d.
center: (0, –6)          radius: 7
e.
center: (6, 0)          radius: 7
 

 19. 

Find the vertex and focus of the parabola.
mc019-1.jpg
a.
vertex: mc019-2.jpg          focus: mc019-3.jpg
b.
vertex: mc019-4.jpg          focus: mc019-5.jpg
c.
vertex: mc019-6.jpg          focus: mc019-7.jpg
d.
vertex: mc019-8.jpg          focus: mc019-9.jpg
e.
vertex: mc019-10.jpg          focus: mc019-11.jpg
 

 20. 

Identify the conic by writing the equation in standard form.
mc020-1.jpg
a.
mc020-2.jpg; hyperbola
b.
mc020-3.jpg; hyperbola
c.
mc020-4.jpg; parabola
d.
mc020-5.jpg; circle
e.
mc020-6.jpg; parabola
 



 
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