Pre-cal 50 question quiz multiple choice

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Question 1 (5 points)
Use the definition of continuity to determine whether f is continuous at a.
f(x) =
a=4
Question 1 options:
Not continuous
Continuous
Save
Question 2 (5 points)
Find the slope of the tangent line to the graph of f at the given point.
f(x) = x2 + 5x at (4, 36)
Question 2 options:
3
13
21
9
Save
Question 3 (5 points)
Graph the function. Then use your graph to find the indicated limit.
f(x) =
,
f(x)
Question 3 options:
-6
-2
6
2
Save
Question 4 (5 points)
Complete the table for the function and find the indicated limit.
Question 4 options:
-1.22843; -1.20298; -1.20030; -1.19970; -1.19699; -1.16858 limit = -1.20
-2.18529; -2.10895; -2.10090; -2.09910; -2.09096; -2.00574 limit = -2.10
4.09476; 4.00995; 4.00100; 3.99900; 3.98995; 3.89526 limit = 4.0
-4.09476; -4.00995; -4.00100; -3.99900; -3.98995; -3.89526 limit = -4.0
Save
Question 5 (5 points)
The function f(x) = x3 describes 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.
Question 5 options:
23.31 cubic inches per inch
2.33 cubic inches per inch
-3.31 cubic inches per inch
3.31 cubic inches per inch
Save
Question 6 (5 points)
Choose the table which contains the best values of x for finding the requested limit of the given
function.
(x2 + 8x – 2)
Question 6 options:
Save
Question 7 (5 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]
Question 7 options:
x2 – 2 = 6
x2 – 2 = 2
x2 – 2 = -2
x2 – 2 = -6
Save
Question 8 (5 points)
Complete the table for the function and find the indicated limit.
Question 8 options:
-0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 0.1
-0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = -1
-0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 0
-0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 1
Save
Question 9 (5 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
Question 9 options:
does not exist
-9
1
9
Save
Question 10 (5 points)
Use the definition of continuity to determine whether f is continuous at a.
f(x) =
a = -5
Question 10 options:
Continuous
Not continuous
Save
Question 11 (5 points)
Choose the table which contains the best values of x for finding the requested limit of the given
function.
Question 11 options:
Save
Question 12 (5 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.
b. f(1)
f(x)
Question 12 options:
a.
f(x) = 1
b. f(1) = 0
a.
f(x) = 2
b. f(1) = 2
a.
f(x) does not exist
b. f(1) = 2
a.
f(x) = 2
b. f(1) = 1
Save
Question 13 (5 points)
Find the derivative of f at x. That is, find f ‘(x). f(x) = 7x + 8; x = 5
Question 13 options:
7
8
40
35
Save
Question 14 (5 points)
Use properties of limits to find the indicated limit. It may be necessary to rewrite an expression before
limit properties can be applied.
Question 14 options:
16
0
does not exist
-16
Save
Question 15 (5 points)
Use the definition of continuity to determine whether f is continuous at a.
f(x) = 5×4 – 9×3 + x – 7a = 7
Question 15 options:
Not continuous
Continuous
Save
Question 16 (5 points)
Graph the function. Then use your graph to find the indicated limit. f(x) = 7ex ,
f(x)
Question 16 options:
0
-7
7
1
Save
Question 17 (5 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.
b. f(3)
f(x)
Question 17 options:
a.
f(x) = 5
b. f(3) = 5
a.
f(x) = 3
b. f(3) = 5
a.
f(x) does not exist
b. f(3) = 5
a.
f(x) = 4
b. f(3) does not exist
Save
Question 18 (5 points)
Determine for what numbers, if any, the given function is discontinuous.
f(x) =
Question 18 options:
-5, 5
5
None
0
Save
Question 19 (5 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 options:
2
5
0
-5
Save
Question 20 (5 points)
Find the slope of the tangent line to the graph of f at the given point.
f(x) =
at ( 36, 6)
Question 20 options:
3
12
Save

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