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Fun, Mathematics
10th -
12thgrade
BASIC Calculus Summative Assessment
65 questions
Show Answers
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- 1. Multiple Choice
Graph is Undefined
10, 8.33,7.14, 6.5, 6, 5
10. 8, 7, 6, 5.5, 5
10 , 8.33, 7.14, 6.25, 5.56, 5
- 2. Multiple Choice
0
1
Any Value Will Do
- 3. Multiple Choice
1
2
Undefined
- 4. Multiple Choice
Which of the following Table of Values represents a function?
- 5. Multiple Choice
Which of the following Table of Values represents a function?
- 6. Multiple Choice
Which of the following Table of Values represents a function?
- 7. Multiple Choice
When using the Vertical Line Test determine which of the following Graph is a function?
1, 2, 3
2 & 3 only
only 2
Only 3
- 8. Multiple Choice
When using the Vertical Line Test determine which of the following Graph is a function?
1, 2, 3
2 & 3 only
only 2
Only 3
- 9. Multiple Choice
When using the Vertical Line Test determine which of the following Graph is a function?
1, 2, 3
2 & 3 only
only 2
Only 3
- 10. Multiple Choice
Given the following Table of Values below, find the Limit of the function f(x)
2.00020001
1.99980001
2
D.N.E.
- 11. Multiple Choice
By Method of Inspection, find the limit of the function f(x) as x approaches zero
1.20
2.0
3.75
4.10
- 12. Multiple Choice
Find the limit of the function f(x) as x Approaches 2 using the method of Inspection
2.10 & -2.10
1.50
D.N.E.
Not A Function
- 13. Multiple Choice
f(x) = 7 &f(2) =7
the Limit and the value of the function is the same
f(x) Approaches 7 & f(2) = 7
the values are almost similar since limit is just an approximation
The Values of f(x) and f(c) will always be the same
None of the Above
- 14. Multiple Choice
Evaluate the piecewise function given.
What have you observed?
f(x) = 0 & f(0) = 0
the limit and the value of the function is the same
f(x) approaches 0 & f(0) = 0
the values are almost similar since the limit is just an approximation
f(x) = 0 & f(0) = 2
the limit and the value of the function are different
None of the Above
- 15. Multiple Choice
Evaluate the piecewise function given.
What have you observed?
f(x) = 4 &f(4) = 3
the limit and the value of the function are different
f(x) = D.N.E. & f(4) = 3 the limit and the value of the function are different
f(x) = Approaches Infinity & f(4) = 3
the limit is approaching Infinity while the value of the function is fixed with the value of 3
None of the Above
- 16. Multiple Choice
3
6
9
12
- 17. Multiple Choice
9
9
12
15
- 18. Multiple Choice
3
6
9
12
- 19. Multiple Choice
given f(x) = 2x - 2 and g(x) = 3x + 3
find ( g + f ) (3)
( g + f ) (3) = 4
( g + f ) (3) = 8
( g + f ) (3) = 12
( g + f ) (3) = 16
- 20. Multiple Choice
given f(x) = -x + 4 and g(x) = x + 3
find ( g - f ) (3)
( g - f ) (3) = 1
( g - f ) (3) = 5
( g - f ) (3) = 6
( g - f ) (3) = 20
- 21. Multiple Choice
f(2) * g(2) = 140
f(2) * g(2) = 100
f(2) * g(2) = 20
f(2) * g(2) = 7
- 22. Multiple Choice
1
2
3
4
- 23. Multiple Choice
2/3
4/3
2
3
- 24. Multiple Choice
1
2
4
7
- 25. Multiple Choice
Complete the table
-4, -3, -2, -1
- 2, -1.75, -1.50, -1
4, 3, 2, 1
Undefined
- 26. Multiple Choice
Complete the table
-0, 1, 2, 3
0, 1, 2, -3
0, -1, -2, -3
Undefined
- 27. Multiple Choice
Graph 1
Graph 2
Graph 1 & 2
None of the Graphs
- 28. Multiple Choice
0
3.437
3
Undefined
- 29. Multiple Choice
- 30. Multiple Choice
1
2
3
4
- 31. Multiple Choice
Graph the function f(x) = 3x -1 at x =1
determine if the graph is Continuous or Discontinuous
Function is Continuous
Function is Discontinuous
Undefined
Not A Function
- 32. Multiple Choice
Function is Continuous
Function is Discontinuous
Undefined
Not A Function
- 33. Multiple Choice
Function is Continuous
Function is Discontinuous
Undefined
Not A Function
- 34. Multiple Choice
1, 2, 3
2, 3, 4
1, 3, 4
1, 2,4
- 35. Multiple Choice
Determine which of the following are types of Discontinuity
1.) Limited Discontinuity
2.) Point / Removable Discontinuity
3.) Jump Discontinuity
4.) Asymptotic / Infinite Discontinuity
1, 2, 3
2, 3, 4
1, 3, 4
1, 2, 4
- 36. Multiple Choice
When using a graph what is the best description to determine that the graph of the function is continuous?
A function is said to be continuous if there are not dots or breaks in the drawing
A function is said to be continuous if we see a solid circle at all points in the graph
A function is said to be continuous if the drawing shows a empty circle at the point
A function is said to be continuous if it can be drawn without picking up the pencil
- 37. Multiple Choice
Using the Pencil to trace the graph above, illustrate and determine the continuity of the function between the interval (-∞,2)
Continuous Interval
Discontinuous Interval
Continuous Point
Discontinuous Point
- 38. Multiple Choice
Using the Pencil to trace the graph above, illustrate and determine the continuity of the function between the interval (2,+∞)
Continuous Interval
Discontinuous Interval
Continuous Point
Discontinuous Point
- 39. Multiple Choice
Using the Pencil to trace the graph above, illustrate and determine the continuity of the function between the interval (3,4)
Continuous Interval
Discontinuous Interval
Continuous Point
Discontinuous Point
- 40. Multiple Choice
Continuous Interval
Discontinuous Interval
Continuous Point
Discontinuous Point
- 41. Multiple Choice
Continuous Interval
Discontinuous Interval
Continuous Point
Discontinuous Point
- 42. Multiple Choice
Continuous Interval
Discontinuous Interval
Continuous Point
Discontinuous Point
- 43. Multiple Choice
Which of the following definition best describes Jump Discontinuities
1.) This type of discontinuity occurs when the graph has a break in it and the values of the function to either side of the break are finite (The Function does not go to infinity)
2.) In this Type of discontinuity, at least one of the two limits is infinite
3.) Occurs when no general limits exists at the given x value (where the left and right hand limits exist but are not equal
4.) Are discontinuities which is represented by a hole in the graph
1 Only
2 Only
1 & 3 Only
4 Only
- 44. Multiple Choice
Which of the following definition describes Hole Discontinuities
1.) This type of discontinuity occurs when the graph has a break in it and the values of the function to either side of the break are finite (The Function does not go to infinity)
2.) In this Type of discontinuity, at least one of the two limits is infinite
3.) Occurs when no general limits exists at the given x value (where the left and right hand limits exist but are not equal
4.) Are discontinuities which is represented by a hole in the graph
1 Only
2 Only
1 & 3 Only
4 Only
- 45. Multiple Choice
Which of the following definition describes Asymptotic Discontinuities
1.) This type of discontinuity occurs when the graph has a break in it and the values of the function to either side of the break are finite (The Function does not go to infinity)
2.) In this Type of discontinuity, at least one of the two limits is infinite
3.) Occurs when no general limits exists at the given x value (where the left and right hand limits exist but are not equal
4.) Are discontinuities which is represented by a hole in the graph
1 Only
2 Only
1 & 3 Only
4 Only
- 46. Multiple Choice
Which of the following statements are true about Intermediate Value and Extreme Value theorems
1.) Intermediate Value Theorem (IVT) is only applicable for closed loop
2.) The Extremum is either the Minimum or Maximum value of the function
3.) Intermediate Value Theorem (IVT) is only applicable for open loops
4.) The Extremum is neither the Minimum or Maximum value of the function
1 & 2 Only
3 & 4 Only
1, 2, 3 & 4
No Definition is applicable
- 47. Multiple Choice
4 & 16
-16 & 4
0 & 16
-16 & 0
- 48. Multiple Choice
Consider f(x) = 2x - 5 on the closed interval [1,5],
what are the values of m when evaluating IVT?
3 ≤ m ≤ 5
- 4 ≤ m ≤ 16
4 ≤ m ≤ 16
- 49. Multiple Choice
Function is Continuous
Function is Discontinuous
Undefined
Not A Function
- 50. Multiple Choice
Function is Continuous
Function is Discontinuous
Undefined
Not A Function
- 51. Multiple Choice
Function is Continuous
Function is Discontinuous
Undefined
Not A Function
- 52. Multiple Choice
Which of the following is not a property of a Tangent Function ?
The Range is (-∞, +∞)
The period of the graph is π
- 53. Multiple Choice
Which of the following table of values represents the Graph of a Tangent Function ?
Table of Values 1 Only
Table of Values 2 Only
Table of Values 3 Only
None of the Above
- 54. Multiple Choice
Which of the following is a Graph of a Function of a Tangent?
Graph 1 Only
Graph 2 Only
Graph 3 Only
None of the Above
- 55. Multiple Choice
Find the equation of the Tangent line to
y = x2 at (2,4)
m = 4
y = 4x -4
Undefined
- 56. Multiple Choice
Find the slope intercept form of the Tangent line to
f(x) = 2x + 1 at x = 4
y = 2x + 1
m = 2
y-9 = 2(x -4)
Undefined
- 57. Multiple Choice
Undefined
- 58. Multiple Choice
±∞
0
1
-2
- 59. Multiple Choice
±∞
-1
1
-2
- 60. Multiple Choice
±∞
-1
1
-2
- 61. Multiple Choice
4
2
Insufficient data
- 62. Multiple Choice
1
- 63. Multiple Choice
-1
1
-2
2
- 64. Multiple Choice
Which of the following is another way of writing the derivative of y = f(x)
1 & 3 Only
1 & 2 Only
1, 2 & 3 Only
1, 2, 3, 4
- 65. Multiple Choice
Which of the following statements are true about Differentiability and Continuity?
1.) if a function is differentiable x = c, then it is continuous at x = c, so differentiability implies continuity
2.) it is possible for a function to be continuous at x = c and not differentiable at x = c. So continuity does not imply differentiability
3.) Differentiation must always be continuous and Continuous Functions can always be differentiated
4.) 1,2 and 3 statements are all incorrect
1 & 2 Only
1 & 3 Only
2 & 3 Only
4 Only
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