Pre-Calculus II Practice Exam 1

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(1) Turn off all cell phones, beepers & chiming watches & put them out of sight.

(2) Fill out the answer sheet on this page for the first 13 problems.

(3) Fill in your work to the show-work portion in the space provided.

(4) TURN IN ALL SCRATCH PAPER. Scratch paper will not be graded.



  

(1. 4 points). If two zeros of are then find the other zero.

    (a) 3             (b)             (c)             (d) there are only two zeros          (e) 0
    

(2. 4 points). Which of the following is true: If is a continuous function on the

    (a) closed interval and is some number strictly between and then there exists some number on the open interval such that   
    
    (b) open interval and is some number strictly between and then there exists some number on the open interval such that   

    (c) open interval and is some number strictly between and then there exists some number on the closed interval such that   
    
    (d) closed interval and is some number strictly between and then there exists some number on the closed interval such that   
    

(3. 4 points). Choose which function could represent the graph:



    (a)
    
    (b)
    
    (c)

    (d)

    (e)

(4. 4 points). Given with the solution to is  

    (a)       
    
    (b)      
    
    (c)      
    
    (d)      
    
    (e)
    

(5. 4 points). From a rectangular piece of cardboard having dimensions 25 inches by 35 inches, an open box is to be made by cutting out identical squares of area from each corner and turning up the sides. Which of the following is the graph of the volume function?

(a)    (b)


(c) (d)


(e)     

(6. 4 points). Given   which of the following are NOT true:  

        I. The Remainder Theorem implies
        
        II. The Factor Theorem implies
        
        III. The Factor Theorem implies is a factor of
        
        IV. The Factor Theorem implies is a factor of

        V. The Remainder Theorem implies is a factor of

        VI. The Remainder Theorem implies is a factor of
        
    (a) I only
    
    (b) I, II, and III

    (c) IV and VI    

    (d) V only
    
    (e) all of them

(7. 4 points). Given and then the quotient of is which of the following:

    (a)
    
    (b)
    
    (c)
    
    (d)
    
    (e)
    

(8. 4 points). Which of the following is a polynomial of LOWEST degree with INTEGER coefficients and with zeros of and ?

    (a)     (b)      (c)      (d)      (e)
    

(9. 4 points). Which of the following is a polynomial of LOWEST degree with RATIONAL coefficients and with zeros of and ?

    (a)
    
    (b)
    
    (c)
    
    (d)
    
    (e)
    

(10. 4 points). Which of the following is a polynomial of LOWEST degree with REAL coefficients and with zeros of and ?
    
    (a)
    
    (b)

    (c)
    
    (d)
    
    (e)
    

(11. 4points). According to the Rational Roots Theorem which of the following is the list of possible rational roots of the polynomial

    (a)  

    (b)

    (c)

    (d)

    (e) there are no rational roots

(12. 4points). Determine the vertical asymptotes for the function

    (a) and
    
    (b) and
    
    (c)
    
    (d) and
    
    (e) there are no vertical asymptotes

(13. 4 points). Given that is an acute angle and what is in terms of only?

    (a)
    
    (b)
    
    (c)
    
    (d)
    
    (e)

(14. 14 points). Show all vertical and horizontal asymptotes, holes, intercepts, and plot as many points as necessary to determine a sketch of the graph of the function

(15. 12 points). Factor into linear factors and sketch the graph of the function

(16. 10 points). Factor into linear factors and solve given

(17. 12 points). Let   .

    (a) Convert to radians
    
    
    
    
    
    
    
    (b) Convert to decimal degrees
    
    
    
    
    
    
    
    (c) Find an angle that is complementary to (in degrees, minutes, seconds).
    
    
    
    
    
    
    
    (d) Find an angle that is supplementary to (in degrees, minutes, seconds).
    
    
    
    
    
    
    
    (e) Find an angle that is coterminal to and less than

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Cite this as:
Precalculus Two Practice Exam 1
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/precalculus-two-practice-exam-1.html