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. 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 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. (2×2 + 2x + 3)2 A. -9 B. 9 C. does not exist D. 1 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 Question 5 of 20 0.0/ 5.0 Points Use the definition of continuity to determine whether f is continuous at a. f(x) = 5×4 – 9×3+ x – 7a = 7 A. Not continuous B. Continuous 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) = x2+ 5x at (4, 36) A. 13 B. 21 C. 9 D. 3 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 Question 8 of 20 0.0/ 5.0 Points Graph the function. Then use your graph to find the indicated limit. f(x) = 7ex , f(x) A. 0 B. 7 C. 1 D. -7 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 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. A. B. C. D. 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. (x2+ 8x – 2) A. B. C. D. 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 Question 13 of 20 0.0/ 5.0 Points Complete the table for the function and find the indicated limit. A. -1.22843; -1.20298; -1.20030; -1.19970; -1.19699; -1.16858 limit = -1.20 B. -2.18529; -2.10895; -2.10090; -2.09910; -2.09096; -2.00574 limit = -2.10 C. -4.09476; -4.00995; -4.00100; -3.99900; -3.98995; -3.89526 limit = -4.0 D. 4.09476; 4.00995; 4.00100; 3.99900; 3.98995; 3.89526 limit = 4.0 Question 14 of 20 0.0/ 5.0 Points The function f(x) = x3describes 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 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 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 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. ( x2 – 2) [-6, 6, 1] by [-6, 6, 1] A. (x2 – 2) = -6 B. (x2 – 2) = 2 C. (x2 – 2) = -2 D. (x2 – 2) = 6 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 A. -5 B. 0 C. 5 D. 2 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 A. 40 B. 8 C. 35 D. 7 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) A. 6 B. -2 C. -6 D. 2

 
 
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. 

 

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

 

Use properties of limits to find the indicated limit. It may be necessary to rewrite an expression before limit properties can be applied.(2x2 + 2x + 3)2

A. -9
B. 9
C. does not exist
D. 1

 

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

 

Use the definition of continuity to determine whether f is continuous at a.f(x) = 5x4 – 9x3+ x – 7a = 7

A. Not continuous
B. Continuous

 

Find the slope of the tangent line to the graph of f at the given point.f(x) = x2+ 5x at (4, 36)

A. 13
B. 21
C. 9
D. 3

 

Use the definition of continuity to determine whether f is continuous at a.f(x) = a = 4

A. Not continuous
B. Continuous

 

Graph the function. Then use your graph to find the indicated limit. f(x) = 7ex , f(x)

A. 0
B. 7
C. 1
D. -7

 

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

 

Choose the table which contains the best values of x for finding the requested limit of the given function.

A. 
B. 
C. 
D. 

 

Choose the table which contains the best values of x for finding the requested limit of the given function.(x2+ 8x – 2)

A. 
B. 
C. 
D. 

 

Determine for what numbers, if any, the given function is discontinuous.f(x) = 

A. 5
B. None
C. 0
D. -5, 5

 

Complete the table for the function and find the indicated limit.

A. -1.22843; -1.20298; -1.20030; -1.19970; -1.19699; -1.16858 limit = -1.20
B. -2.18529; -2.10895; -2.10090; -2.09910; -2.09096; -2.00574 limit = -2.10
C. -4.09476; -4.00995; -4.00100; -3.99900; -3.98995; -3.89526 limit = -4.0
D. 4.09476; 4.00995; 4.00100; 3.99900; 3.98995; 3.89526 limit = 4.0

 

The function f(x) = x3describes 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

 

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

 

Use the definition of continuity to determine whether f is continuous at a.f(x) = 

a = -5

A. Not continuous
B. Continuous

 

Use the graph and the viewing rectangle shown below the graph to find the indicated limit. ( x2 – 2)

[-6, 6, 1] by [-6, 6, 1]

A. (x2 – 2) = -6
B. (x2 – 2) = 2
C. (x2 – 2) = -2
D. (x2 – 2) = 6

 

Use properties of limits to find the indicated limit. It may be necessary to rewrite an expression before limit properties can be applied.5

A. -5
B. 0
C. 5
D. 2

 

Find the derivative of f at x. That is, find f ‘(x). f(x) = 7x + 8; x = 5

A. 40
B. 8
C. 35
D. 7

 

Graph the function. Then use your graph to find the indicated limit.f(x) = f(x)

A. 6
B. -2
C. -6
D. 2
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