Multi Choice Problems

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.

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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.

(2x2 + 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) = 5x4 – 9x3+ 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) = 7exf(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  

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