Question 1 of 20 | 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) | A. | | | B. 12 | | | C. 3 | | | D. | |
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Question 2 of 20 | 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. | A. 16 | | | B. does not exist | | | C. -16 | | | D. 0 | |
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Question 3 of 20 | 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 | A. -9 | | | B. 9 | | | C. does not exist | | | D. 1 | |
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Question 4 of 20 | 0.0/ 5.0 Points |
Complete the table for the function and find the indicated limit. | A. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = -1 | | | B. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 0 | | | C. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 0.1 | | | D. -0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 1 | |
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Question 5 of 20 | 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 | A. Not continuous | | | B. Continuous | |
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Question 6 of 20 | 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) |
Question 7 of 20 | 0.0/ 5.0 Points |
Use the definition of continuity to determine whether f is continuous at a. f(x) = a = 4 | A. Not continuous | | | B. Continuous | |
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Question 8 of 20 | 0.0/ 5.0 Points |
Graph the function. Then use your graph to find the indicated limit. f(x) = 7e x , f(x) |
Question 9 of 20 | 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) | A. a. f(x) = 1 b. f(1) = 0 | | | B. a. f(x) does not exist b. f(1) = 2 | | | C. a. f(x) = 2 b. f(1) = 2 | | | D. a. f(x) = 2 b. f(1) = 1 | |
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Question 10 of 20 | 0.0/ 5.0 Points |
Choose the table which contains the best values of x for finding the requested limit of the given function. |
Question 11 of 20 | 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) |
Question 12 of 20 | 0.0/ 5.0 Points |
Determine for what numbers, if any, the given function is discontinuous. f(x) = | A. 5 | | | B. None | | | C. 0 | | | D. -5, 5 | |
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Question 13 of 20 | 0.0/ 5.0 Points |
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Question 14 of 20 | 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. | A. 2.33 cubic inches per inch | | | B. -3.31 cubic inches per inch | | | C. 23.31 cubic inches per inch | | | D. 3.31 cubic inches per inch | |
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Question 15 of 20 | 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) | A. a. f(x) = 3 b. f(3) = 5 | | | B. a. f(x) = 5 b. f(3) = 5 | | | C. a. f(x) = 4 b. f(3) does not exist | | | D. a. f(x) does not exist b. f(3) = 5 | |
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Question 16 of 20 | 0.0/ 5.0 Points |
Use the definition of continuity to determine whether f is continuous at a. f(x) = a = -5 | A. Not continuous | | | B. Continuous | |
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Question 17 of 20 | 0.0/ 5.0 Points |
Use the graph and the viewing rectangle shown below the graph to find the indicated limit. ( x 2 - 2) [-6, 6, 1] by [-6, 6, 1] | A. (x2 - 2) = -6 | | | B. (x2 - 2) = 2 | | | C. (x2 - 2) = -2 | | | D. (x2 - 2) = 6 | |
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Question 18 of 20 | 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 |
Question 19 of 20 | 0.0/ 5.0 Points |
Find the derivative of f at x. That is, find f '(x). f(x) = 7x + 8; x = 5 |
Question 20 of 20 | 0.0/ 5.0 Points |
Graph the function. Then use your graph to find the indicated limit. f(x) = , f(x) |