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Pre Calc Midterm Review II. Perform the indicated operation and write the result
in standard form. ____ 1. a. c. b. d. Identify the graph of the rational function.
Pre Calc Midterm Review II Perform the indicated operation and write the result in standard form. ____
1. a. b.
c. d.
Identify the graph of the rational function. Find any vertical and horizontal asymptotes. ____
2. a.
c.
Asymptotes y = 1, x = –5 b.
Asymptotes y = 1, x = 5 d.
Asymptotes y = 1, x = 5
Asymptotes y = –1, x = –5
Use the properties of inverse functions to evaluate the expression. ____
3. a.
c.
b.
d.
Evaluate the expression ____
4. a.
b. Not possible
c. 0
d.
c.
d.
Use a calculator to approximate the expression. ____
5. a.
b.
Identify the ratio that defines the trigonometric function of the angle ____
____
6.
a.
c.
b.
d.
7. Given a.
c.
b.
d.
Identify the quadrant in which ____
find
8. a. b. c. d.
Quadrant III Quadrant I Quadrant IV Quadrant II
lies.
Find the exact value of the function. ____
9. a. b.
c. 1 d.
Find the exact value of the function. ____ 10. a. b.
Find the exact value of the function. ____ 11. a. b. c. d.
Find the exact value of the function. ____ 12. a. b. c. d.
Find the exact value of the function. ____ 13. a. b. c. d.
Find the exact value of the function. ____ 14. a. b. c. d.
c. d.
Find the exact value of the function. ____ 15. a. b. c. d.
Find the exact value of the function. ____ 16. a. b. c. d.
Find the exact value of the function. ____ 17. a. b. c. d.
Find the exact value of the function. ____ 18. a. b. c. d. 1
Find the exact value of the function. ____ 19. a. b. 1 c. d.
Find the exact value of the function. ____ 20. a. b. c. d.
Find the exact value of the function. ____ 21. a. b. c. d.
Find the exact value of the function. ____ 22. a. b. c. d.
Find the exact value of the function. ____ 23. a. undefined b. –1 c. d. 0
Find the exact value of the function. ____ 24. a. b. c. d.
Find all real zeros of the polynomial function. ____ 25. a. b. c. d.
Use the Quadratic Formula to solve. ____ 26. a.
c.
b.
d.
____ 28. A polynomial of degree 5 whose coefficients are real numbers has the zeros remaining zeros. a. c. b. d.
____ 29. Given that one zero of a. b.
is c. d.
Find all the real zeros of the function. ____ 30. a.
c.
b.
d.
Determine the domain of the function. ____ 31. a. b. c. d.
All real numbers All real numbers All real numbers All real numbers
and
, which of the following is also a zero of
Identify the
Determine the domain of the function. ____ 32. a. b. c. d.
All real numbers All real numbers All real numbers All real numbers
____ 33. Find the vertical asymptote(s), if any, for a. x = 4, x = 2 b. No vertical asymptotes
c. x = 2, x = 1 d. x = 2, x = 1, x = 4
Identify the polynomial written in completely factored form. ____ 34. a. b.
c. d.
Use a calculator to evaluate the logarithm. Round to three decimal places. ____ 35. ln 55 a. 1.740 b. 7.416 c. 4.007 d. 4.057
Give the number of full cycles of the function that are found in the interval. ____ 37. a. 4
on the interval b. 1
c. 3
d. 2
Identify the graph of the function. ____ 38. a.
c.
b.
d.
Identify the function that is graphed.
____ 39. a.
b.
c.
d.
Identify the graph of the function. ____ 40. a.
c.
b.
d.
Identify the function that is graphed.
____ 41. a.
b.
c.
d.
Solve the exponential equation algebraically. ____ 42. a. b. c. d.
Find the value of x. ____ 43. a. b. c. d.
0.933 5.482 0.343 8.400
Find the value of x. ____ 44. a.
c.
b.
d.
____ 45. A mass attached to a spring vibrates up and down in simple harmonic motion according to the equation
where h is in centimeters and t is in seconds. Identify the amplitude and the period of the vibrations. c. a.
b.
d.
Solve for x. ____ 47. a.
b.
c.
d.
Use a calculator to evaluate the function. (Be sure the calculator is in the correct angle mode.) ____ 48. a. b. c. d.
1.9725 0.5070 –1.0080 –1.0117
Use a calculator to evaluate the expression. ____ 49. a. b.
Use a calculator to evaluate the expression. ____ 50. a. b. c. d.
Write the quotient in standard form. ____ 51. a. b. c. d.
____ 52. a. b. c. d.
c. d.
Express the angle in radian measure in terms of
Do not use a calculator.
____ 53. a.
b.
c.
d.
In which quadrant is the terminal side of the angle ____ 54. a. b. c. d.
Quadrant IV Quadrant II Quadrant III Quadrant I
Use long division to divide. ____ 55. a. b.
c.
+ –
d.
– +
____ 56. a. b.
+ –
c. d.
– +
Use the properties of logarithms to expand the expression. (Assume all variables are positive.) ____ 57. a.
c.
b.
d.
Condense the expression to the logarithm of a single quantity. ____ 58. a.
c.
b. None of these
d.
Convert the measure to radians. revolutions counterclockwise from the x-axis
____ 59.
a. 480
c.
b.
d.
Find the reference angle ____ 60. a.
b.
c.
d.
____ 62. Use synthetic division to determine which of the following polynomials is not a factor of a.
b.
c.
____ 63. Which is the logarithm rewritten as a ratio of natural logarithms?
a.
c.
b.
d.
d.
Use the period of the function to select the expression that has the same value as the given expression. ____ 64. a.
c.
b.
d.
Use the given trigonometric value to evaluate the indicated expression. ____ 65. If
find
.
a.
c.
b.
d.
Determine the maximum number of zeros of the polynomial function. ____ 66. a. –2
b. 9
c. 5
d. 4
Let be an acute angle. Use the given function value and trigonometric identities to find the indicated trigonometric function. ____ 67. If
find
a. b. c. d.
Use the fundamental trigonometric identities to determine the simplified form of the expression. ____ 68. a.
b.
c.
d.
Use the Intermediate Value Theorem to determine which interval does not contain a real zero of the function. ____ 69. a.
c.
b.
d.
Identify the right-hand and left-hand behavior of the graph of the polynomial function. ____ 70. a. Falls to the left. Falls to the right. b. Falls to the left. Rises to the right.
c. Rises to the left. Falls to the right. d. Rises to the left. Rises to the right.
Determine which statement is true about the graph of the function.
____ 71. a. b. c. d.
The degree of the function is odd and the leading coefficient is positive. The degree of the function is even and the leading coefficient is positive. The degree of the function is odd and the leading coefficient is negative. The degree of the function is even and the leading coefficient is negative.
____ 72. Factor a. b.
given that
is one of its factors. c. d.
____ 73. Use synthetic division to find a.
b.
if c.
d.
____ 74. Identify the equation of a quadratic function with the vertex and opens upward. a.
c.
b.
d.
, that passes through the point
Identify the equation of the quadratic function in standard form and find the vertex of the graph. ____ 75. a.
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