1. Referring to the following graph, the number of roots of f(x) = 0 is

                       

    A. 0             B. 1              C. 2              D. 3              E. 4

 

2. Which of the following equations can be solved if the line y = 2x + 5 is added onto the graph of ?

    A.         B.         C.

    D.         E.

 

3. Which of the following intervals must contain a root of the equation ?

    A. - 1 < x < 0              B. 0 < x < 1             C. 1 < x < 2

    D. 2 < x < 3                 E. 3 < x < 4

 

4. If , then =

    A. 5.5 (correct to 1 decimal place)            B. 5.56 (correct to 2 decimal places)

    C. 5.57 (correct to 2 decimal places)        D. 5.564 (correct to 3 decimal places)

    E. 5.565 (correct to 3 decimal places)

 

5. From the following table, a root of the equation must be

x

Sign of f(x)

1.96

-

1.97

-

1.98

+

1.975

-

    A. 1.96 (correct to 2 decimal places)          B. 1.97 (correct to 2 decimal places)

    C. 1.98 (correct to 2 decimal places)         D. 1.975 (correct to 3 decimal places)

    E. None of the above

 

6. Referring to the following graph, the number of root(s) of is

                           

    A. 0     B. 1       C. 2             D. 3      E. 4

 

7. Which of the following equations can be solved if the line is added onto the graph of ?

    A.             B.             C.

    D.             E.

 

8. Which of the following intervals must contain a root of the equation ?

    A. - 4 < x < - 3        B. - 3 < x < - 2      C. - 2 < x < - 1

    D. - 1 < x < 0         E. 0 < x < 1

 

9. From the table, a root of the equation must be

x

Sign of f(x)

0.22

-

0.23

-

0.24

+

0.235

+

    A. 0.22 (correct to 2 decimal places)          B. 0.23 (correct to 2 decimal places)

    C. 0.230 (correct to 3 decimal places)           D. 0.235 (correct to 3 decimal places)

    E. 0.24 (correct to 2 decimal places)

 

10. In which of the following cases the method of bisection cannot be used?

                A.                                     B.                                     C.

                                   

                D.                                        E.

                           

 

 

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