Cumulative Exam — Cumulative exam Answers
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Which of the following is the graph of the function y = 4csc(x)?
A
On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 12 to 4 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals negative 3 at (pi by 2 comma negative 3) and (negative 3 pi by 2 comma negative 3) and y equals negative 5 at (3 pi by 2 comma negative 5) and (negative pi by 2 comma negative 5).
B
On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 12 to 4 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals 5 at (pi by 2 comma 5) and (negative 3 pi by 2 comma 5) and y equals negative 3 at (3 pi by 2 comma 3) and (negative pi by 2 comma 3).
C
On a coordinate plane, the x axis ranges from negative pi to 3 pi with an interval of pi units and the y axis ranges from negative 8 to 8 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals 4 at (5 pi by 2 comma 4) and (pi by 2 comma 4) and y equals negative 4 at (3 pi by 2 comma negative 4) and (negative pi by 2 comma negative 4).
D
On a coordinate plane, the x axis ranges from negative pi to 3 pi with an interval of pi units and the y axis ranges from negative 8 to 8 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals 4 at (9 pi by 5 comma 4) and (pi by 5 comma 4) and y equals negative 4 at (14 pi by 5 comma negative 4) and (negative 4 pi by 5 comma negative 4).
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What is the solution to
A
mc014-2.jpg
B
mc014-3.jpg
C
mc014-4.jpg
D
mc014-5.jpg
43
Which expression is equivalent to ?
A
StartFraction 2 (a + 1) squared Over a cubed EndFraction
B
6aC
2aD
StartFraction 6 a squared Over a + 1 EndFraction
44
Review the graph.
A
AB
BC
CD
D45
The table shows several points for function j(t).
A
A 2-column table with 4 rows. Column 1 is labeled t with entries 1, 8, 10, 17. Column 2 is labeled j Superscript negative 1 Baseline (t) with entries negative 1, negative 2, negative 10, negative 250.
B
A 2-column table with 4 rows. Column 1 is labeled t with entries 1, 8, 10, 17. Column 2 is labeled j Superscript negative 1 Baseline (t) with entries 1, 0.5, 0.1, 0.004.
C
A 2-column table with 4 rows. Column 1 is labeled t with entries 1, 2, 10, 250. Column 2 is labeled j Superscript negative 1 Baseline (t) with entries 1, 0.5, 0.1, 0.004.
D
A 2-column table with 4 rows. Column 1 is labeled t with entries 1, 2, 10, 250. Column 2 is labeled j Superscript negative 1 Baseline (t) with entries 1, 8, 10, 17.
46
What is the value of x in ?
A
Negative StartFraction 2 pi Over 3 EndFraction
B
Negative StartFraction pi Over 6 EndFraction
C
StartFraction 2 pi Over 3 EndFraction
D
StartFraction 7 pi Over 6 EndFraction
47
Which expression is equivalent to ?
A
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 4
B
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 16
C
2 log Subscript 5 Baseline x + 2 log Subscript 5 Baseline 4
D
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 4
48
What is the additive inverse of the complex number –12 + 4i?
A
–12 – 4iB
–12 + 4iC
12 – 4iD
12 + 4i49
Review the table showing wind speed, y, in miles per hour, measured x hours after midnight.Hours after MidnightWind Speed (mph)14.324.24576.898108.1137.2176205.1
A
y = 1.87sin(0.29x + 6.13) + 4.79B
y = 1.87sin(0.29x + 4.79) + 6.13C
y = 1.87sin(–0.29x + 6.13) + 4.79D
y = 1.87sin(–0.29x + 4.79) + 6.1350
How does the graph of g(x) = 3x – 2 compare to the graph of f(x) = 3x?
A
The graph of g(x) is a translation of f(x) 2 units left.B
The graph of g(x) is a translation of f(x) 2 units right.C
The graph of g(x) is a translation of f(x) 2 units up.D
The graph of g(x) is a translation of f(x) 2 units down.Did you find these answers helpful?
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