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HPreCalc Sem 2 Final Exam A

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Last updated almost 2 years ago
37 questions
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Question 1
1.

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Question 2
2.

State the amplitude for the function:

Question 3
3.

State the period for the function:

Question 4
4.

Question 5
5.

Question 6
6.

Question 7
7.

Graph the parent function for f(x) and the transformations for the function in the correct order. Graph the midline for any vertical shift and the asymptotes for one period as dashed lines.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 8
8.

Graph the parent function for f(x) and the transformations for the function in the correct order. Graph the midline for any vertical shift and the asymptotes for one period as dashed lines.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 9
9.

Question 10
10.

Question 11
11.

Question 12
12.

Question 13
13.

Prove the identity by verifying that both sides are equivalent. Show all steps for full credit.

Question 14
14.

Prove the identity by verifying that both sides are equivalent. Show all steps for full credit.

Question 15
15.

Given:
Find the exact value of:

Question 16
16.

Given:
Find the exact value of:

Question 17
17.

Given:
Find the exact value of:

Question 18
18.

Find the exact value of:

Question 19
19.

Simplify down one expression or value. Show all steps for full credit.

Question 20
20.

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Question 21
21.

Question 22
22.

What is the area of a triangle with sides measures: 24, 52, and 39? Round to two decimal places.

Question 23
23.

Expand the binomial (5x - 3y)4 .
Note: For grading purposes, write your answer as a simplified polynomial expression with x decreasing in power and y increasing in power.

Question 24
24.

Simplify:
Note: Report your answer in factored form.

Question 25
25.

Question 26
26.

Question 27
27.

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Question 28
28.

Question 29
29.

Find the 15th partial sum of the following sequence:

Question 30
30.

Express the finite series using sigma notation.
Note: use k as the index of the summation.

Question 31
31.

Question 32
32.

Question 33
33.

Question 34
34.

Using the formal definition, find the derivative, f'(x), for the following function:

Question 35
35.

Write the equation of the tanget line at (-1, 3) for the following function in slope-intercept form (y= mx+b):

Question 36
36.

Use the limit process to find the area bounded by the function and the x-axis on the given interval.

Question 37
37.

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Match the exact value of each function.
Not answer for any of the functions.
Not answer for any of the functions.
State the frequency for the function:
2 cycle per 3𝜋
1 cycle per 3𝜋
1 cycle per 6𝜋
1 cycle per 2𝜋/3
State the phase shift for the function:
right 𝜋
right 3𝜋
left 3𝜋
left 𝜋
State the vertical shift for the function:
down 2 units
up 2 units
down 3 units
up 3 units
Solve for x with x ∈ [0, 2𝜋)
0
Solve for x with x ∈ [0, 2𝜋)
0
Solve for x for all real solutions. Let k = the set of all integers.
Solve for x for all real solutions. Let k = the set of all integers.
Using the Law of Sines, determine how many solutions exist for the given information.
2 Triangles Exist
No Triangle Exists
1 Triangle Exists
1 Triangle Exists
Given:

Determine the following measures, if possible:

Note: Round to the nearest tenth of a degree.
What is the 12th term of the following sequence:
4
404,250
131,072
64
524,288
What is the 15th term of the following sequence:
40
3
43
46
4
Match limit to the correct value or state the limit is nonexistent.
Nonexistent
What is the sum for the expression:
97
None of these are correct.
64
48
37
The following series is divergent.
True
False
The following series is divergent.
True
False
Use the ratio test to find r. Determine if the series is divergent or convergent:
r = 4 divergent
r = 1 divergent
r = 1/4 convergent
r = 0 convergent
Use the following graph of the function h(x) below to match the limit of the function as stated.

h(-1) =
1
-2
Does not exist
1
2
3
h(3) =
Does not exist
2