Name: 
 

Chapter 3 Pre Test



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

 1. 

Select the graph of the function mc001-1.jpg. Compare the graph of this function with the graph of mc001-2.jpg.
a.

mc001-3.jpgHorizontal shift mc001-4.jpg units to the right.
d.

mc001-9.jpgHorizontal shift mc001-10.jpg units to the right.
b.

mc001-5.jpgHorizontal shift mc001-6.jpg units to the right.
e.

mc001-11.jpgHorizontal shift mc001-12.jpg units to the right.
c.

mc001-7.jpgHorizontal shift mc001-8.jpg unit to the right.
 

 2. 

The total revenue mc002-1.jpg earned per day (in dollars) from a pet-sitting service is given by

mc002-2.jpg

where mc002-3.jpg is the price charged per pet (in dollars).

Find the revenue when the price per pet is $mc002-4.jpg.
a.
mc002-5.jpg
b.
mc002-6.jpg
c.
mc002-7.jpg
d.
mc002-8.jpg
e.
mc002-9.jpg
 

 3. 

From the graph of the quadratic function mc003-1.jpg, determine the equation of the axis of symmetry.
a.
mc003-2.jpg
b.
mc003-3.jpg
c.
mc003-4.jpg
d.
mc003-5.jpg
e.
mc003-6.jpg
 

 4. 

Write the quadratic function mc004-1.jpg in standard form.
a.
mc004-2.jpg
b.
mc004-3.jpg
c.
mc004-4.jpg
d.
mc004-5.jpg
e.
mc004-6.jpg
 

 5. 

Write the standard form of the equation of the parabola that has a vertex at mc005-1.jpg and passes through the point mc005-2.jpg.
a.
mc005-3.jpg
b.
mc005-4.jpg
c.
mc005-5.jpg
d.
mc005-6.jpg
e.
mc005-7.jpg
 

 6. 

A Norman window has the shape of a rectangle surmounted by a semicircle as in the figure below. If the perimeter of the window is mc006-1.jpg, express the area, A, as a function of the width, x, of the window.
mc006-2.jpg
a.
mc006-3.jpg
b.
mc006-4.jpg
c.
mc006-5.jpg
d.
mc006-6.jpg
e.
mc006-7.jpg
 

 7. 

Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.

mc007-1.jpg
a.
Rises to the left, falls to the right
b.
Rises to the right, rises to the left
c.
Falls to the left, rises to the right
d.
Falls to the right
e.
Falls to the left, falls to the right
 

 8. 

Select the graph of the function and determine the zeros of the polynomial.

mc008-1.jpg
a.

mc008-2.jpg
mc008-3.jpg
d.

mc008-8.jpg
mc008-9.jpg
b.

mc008-4.jpg
mc008-5.jpg
e.

mc008-10.jpg
mc008-11.jpg
c.

mc008-6.jpg
mc008-7.jpg
 

 9. 

Select the graph of the function and use the zero or root feature to approximate the real zeros of the function.

mc009-1.jpg
a.

Zeros: mc009-2.jpg
mc009-3.jpg
d.

Zeros: mc009-8.jpg
mc009-9.jpg
b.

Zeros: mc009-4.jpg
mc009-5.jpg
e.

Zeros: mc009-10.jpg
mc009-11.jpg
c.

Zeros: mc009-6.jpg
mc009-7.jpg
 

 10. 

Select the graph of the function and use the zero or root feature to approximate the real zeros of the function.

mc010-1.jpg
a.

Zeros: mc010-2.jpg
mc010-3.jpg
d.

Zeros: mc010-8.jpg
mc010-9.jpg
b.

Zeros: mc010-4.jpg
mc010-5.jpg
e.

Zeros: mc010-10.jpg
mc010-11.jpg
c.

Zeros: mc010-6.jpg
mc010-7.jpg
 

 11. 

Use the Remainder Theorem and synthetic division to find the function value.

mc011-1.jpg    mc011-2.jpg
a.
6
b.
3
c.
–3
d.
8
e.
7
 

 12. 

Determine whether the statement is true or false. Justify your answer.

The rational expression

mc012-1.jpg

is improper.
a.
True. The degree of the numerator is greater than the degree of the denominator.
b.
False. The degree of the denominator is smaller than the degree of the  numerator.
 

 13. 

Use long division to divide.
mc013-1.jpg
a.
mc013-2.jpg
b.
mc013-3.jpg
c.
mc013-4.jpg
d.
mc013-5.jpg
e.
mc013-6.jpg
 

 14. 

Use the Remainder Theorem and synthetic division to find the function value. Verify your
answer using another method.

mc014-1.jpg    mc014-2.jpg
a.
–343
b.
343
c.
345
d.
340
e.
344
 

 15. 

Use synthetic division to divide.

mc015-1.jpg
a.
mc015-2.jpg, mc015-3.jpg
b.
mc015-4.jpg, mc015-5.jpg
c.
mc015-6.jpg, mc015-7.jpg
d.
mc015-8.jpg, mc015-9.jpg
e.
mc015-10.jpg, mc015-11.jpg
 

 16. 

Find a polynomial function with real coefficients that has the given zeros.

mc016-1.jpg
a.
mc016-2.jpg
b.
mc016-3.jpg
c.
mc016-4.jpg
d.
mc016-5.jpg
e.
mc016-6.jpg
 

 17. 

Find all real solutions of the polynomial equation mc017-1.jpg.
a.
mc017-2.jpg
b.
mc017-3.jpg
c.
mc017-4.jpg
d.
mc017-5.jpg
e.
mc017-6.jpg
 

 18. 

Given mc018-1.jpg  is a root, determine all other roots of mc018-2.jpg.
a.
mc018-3.jpg
b.
mc018-4.jpg
c.
mc018-5.jpg
d.
mc018-6.jpg
e.
mc018-7.jpg
 

 19. 

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of mc019-1.jpg.
a.
1 positive real; 3 negative reals or 1 negative real
b.
no positive reals; no negative reals
c.
1 positive real; 5 negative reals or 3 negative reals or 1 negative real
d.
5 positive reals or 3 positive reals or 1 positive real; no negative reals
e.
3 positive reals or 1 positive real; 3 negative reals or 1 negative real
 

 20. 

Use the given value of k to complete the table for the inverse variation model

mc020-1.jpg.

Plot the points on a rectangular coordinate system.

x
2
4
6
8
10
mc020-2.jpg
     

mc020-3.jpg
a.
mc020-4.jpg

mc020-5.jpg
b.
mc020-6.jpg

mc020-7.jpg
c.
mc020-8.jpg

mc020-9.jpg
d.
mc020-10.jpg

mc020-11.jpg
e.
mc020-12.jpg

mc020-13.jpg
 



 
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