Question 1 of 20
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0.0/ 5.0 Points |
Find the slope of the tangent line to the graph of f at the given point.
f(x) =
 at ( 36, 6)
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A.  |
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B. 12 |
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C. 3 |
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D.  |
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Question 2 of 20
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5.0/ 5.0 Points |
Use properties of limits to find the indicated limit. It may be necessary to rewrite an expression before limit properties can be applied.
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A. 16 |
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B. does not exist |
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C. -16 |
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D. 0 |
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Question 3 of 20
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0.0/ 5.0 Points |
Use properties of limits to find the indicated limit. It may be necessary to rewrite an expression before limit properties can be applied.
 (2x
2 + 2x + 3)
2
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A. -9 |
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B. 9 |
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C. does not exist |
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D. 1 |
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Question 4 of 20
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0.0/ 5.0 Points |
Complete the table for the function and find the indicated limit.
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A. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = -1 |
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B. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 0 |
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C. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 0.1 |
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D. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 1 |
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Question 5 of 20
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0.0/ 5.0 Points |
Use the definition of continuity to determine whether f is continuous at a.
f(x) = 5x
4 – 9x
3+ x – 7a = 7
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A. Not continuous |
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B. Continuous |
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Question 6 of 20
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0.0/ 5.0 Points |
Find the slope of the tangent line to the graph of f at the given point.
f(x) = x
2+ 5x at (4, 36)
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Question 7 of 20
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0.0/ 5.0 Points |
Use the definition of continuity to determine whether f is continuous at a.
f(x) =
 a = 4
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A. Not continuous |
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B. Continuous |
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Question 8 of 20
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0.0/ 5.0 Points |
Graph the function. Then use your graph to find the indicated limit. f(x) = 7e
x ,
 f(x)
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Question 9 of 20
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0.0/ 5.0 Points |
The graph of a function is given. Use the graph to find the indicated limit and function value, or state that the limit or function value does not exist.
a.
 f(x)
b. f(1)
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A. a.  f(x) = 1
b. f(1) = 0 |
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B. a. f(x) does not exist
b. f(1) = 2 |
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C. a. f(x) = 2
b. f(1) = 2 |
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D. a. f(x) = 2
b. f(1) = 1 |
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Question 10 of 20
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0.0/ 5.0 Points |
Choose the table which contains the best values of x for finding the requested limit of the given function.
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Question 11 of 20
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5.0/ 5.0 Points |
Choose the table which contains the best values of x for finding the requested limit of the given function.
 (x
2+ 8x – 2)
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Question 12 of 20
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0.0/ 5.0 Points |
Determine for what numbers, if any, the given function is discontinuous.
f(x) =
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A. 5 |
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B. None |
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C. 0 |
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D. -5, 5 |
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Question 13 of 20
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0.0/ 5.0 Points |
Complete the table for the function and find the indicated limit.
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A. -1.22843; -1.20298; -1.20030; -1.19970; -1.19699; -1.16858 limit = -1.20 |
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B. -2.18529; -2.10895; -2.10090; -2.09910; -2.09096; -2.00574 limit = -2.10 |
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C. -4.09476; -4.00995; -4.00100; -3.99900; -3.98995; -3.89526 limit = -4.0 |
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D. 4.09476; 4.00995; 4.00100; 3.99900; 3.98995; 3.89526 limit = 4.0 |
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Question 14 of 20
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0.0/ 5.0 Points |
The function f(x) = x
3describes the volume of a cube, f(x), in cubic inches, whose length, width, and height each measure x inches. If x is changing, find the average rate of change of the volume with respect to x as x changes from 1 inches to 1.1 inches.
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A. 2.33 cubic inches per inch |
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B. -3.31 cubic inches per inch |
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C. 23.31 cubic inches per inch |
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D. 3.31 cubic inches per inch |
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Question 15 of 20
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0.0/ 5.0 Points |
The graph of a function is given. Use the graph to find the indicated limit and function value, or state that the limit or function value does not exist.
a.
 f(x)
b. f(3)
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A. a.  f(x) = 3
b. f(3) = 5 |
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B. a. f(x) = 5
b. f(3) = 5 |
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C. a. f(x) = 4
b. f(3) does not exist |
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D. a. f(x) does not exist
b. f(3) = 5 |
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Question 16 of 20
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0.0/ 5.0 Points |
Use the definition of continuity to determine whether f is continuous at a.
f(x) =
a = -5
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A. Not continuous |
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B. Continuous |
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Question 17 of 20
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0.0/ 5.0 Points |
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Question 18 of 20
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5.0/ 5.0 Points |
Use properties of limits to find the indicated limit. It may be necessary to rewrite an expression before limit properties can be applied.
 5
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A. -5 |
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( x
(x2 – 2) = -6