AnswersSVLC ALGEBRA 2B - STANDARD 15272Cumulative Exam

Cumulative Exam — Cumulative exam Answers

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Which transformations are needed to change the parent sine function to ?

Question illustration
A
vertical stretch of , horizontal stretch to a period of 2p, phase shift of units to the left
Option A
B
vertical compression of , horizontal compression to a period of , phase shift of units to the left
Option B
C
vertical stretch of 4, horizontal stretch to a period of 8p, phase shift of units to the right
Option C
D
vertical compression of 4, horizontal compression to a period of , phase shift of units to the right
Option D
42
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What is the product? Assume

Question illustration
A
3 x StartRoot 5 EndRoot + 3 StartRoot 165 x EndRoot + 10 StartRoot 6 EndRoot
Option A
B
3 x StartRoot 5 EndRoot + 6 StartRoot 10 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot
Option B
C
3 x StartRoot 5 EndRoot + 10 StartRoot 6 EndRoot
Option C
D
StartRoot 3 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot
Option D
43

The depth of the water, d, at the end of a pier changes periodically as a function of time, t, in hours as shown in the graph below. According to the model, the last low tide occurred at 5:00 a.m. When will the next low tide occur? Let t = 0 be 12:00 a.m.

Question illustration
A
3:00 a.m.
B
5:00 a.m.
C
3:00 p.m.
D
5:00 p.m.
44

What is the value of ?

Question illustration
A
3
B
5
C
15
D
25
45

The amount of a sample remaining after t days is given by the equation , where A is the initial amount of the sample and h is the half-life, in days, of the substance. A sample contains 18% of its original amount of Radon-222. The half-life of Radon-222 is about 3.8 days. Which is the best estimate for the age of the sample?

Question illustration
A
1.5 days
B
2.5 days
C
9.4 days
D
21.1 days
46

If , what is the value of c?

Question illustration
A
1
B
2
C
3
D
5
47

What is the solution of ?

Question illustration
A
x = –2500
B
x = –50
C
x = –2.5
D
no solution
48

David is a statistician. He has a sample size of 40 (which he cannot change). What element of his hypothesis test can he adjust to minimize the probability that he incorrectly rejects the null hypothesis?

A
the mean of the population
B
the mean of the sample
C
the standard deviation of the population
D
the significance level of the test
49

Which statements accurately compare the functions in the graph? Select two options.

A
Neither function has a maximum value.
B
The functions share a y-intercept of –1.
C
The functions share an x-intercept of 1.
D
Both functions have a range of all real numbers.
E
Both functions have a domain of all real numbers.
50

Which of the following accurately lists all of the discontinuities for the function graphed below?

Question illustration
A
jump discontinuity at x = 0; point discontinuity at x = 8
B
jump discontinuity at x = 0; point discontinuities at x = –2 and x = 8
C
jump discontinuities at x = 0 and x = 8; point discontinuity at x = –2
D
jump discontinuity at x = 0; point discontinuities at x = –2, x = 3 and x = 8

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