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Copy of IM 1 SS22 Day 3 Functions and Relations cloned 10/4/2022 (7/21/2024)

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Last updated 10 months ago
52 questions
Note from the author:
This assignment represents one 4 hour session. After completing it, you will take a quiz this covering material.

Be sure to show your work to recieve full credit for every problem. Remember you may use this assignment as notes for the quiz.
This assignment represents one 4 hour session. After completing it, you will take a quiz this covering material.

Be sure to show your work to recieve full credit for every problem. Remember you may use this assignment as notes for the quiz.
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Main Idea: Representing Relations and Functions

Question 1
1.

Watch the video and complete the notes of this section.

Question 2
2.

Use the set of ordered pairs to complete the relation table, relation mapping, and coordinate graph.

Question 3
3.

Use the set of ordered pairs to complete the relation table, relation mapping, and coordinate graph.

Main Idea: Relations vs. Functions

Question 4
4.

Watch the video and complete the notes of this section.

Question 5
5.

Determine whether the given relation is a function. (Function or Not a Function)

Question 6
6.

Determine whether the given relation is a function. (Function or Not a Function)

Question 7
7.

Determine whether the given relation is a function. (Function or Not a Function)

Question 8
8.

Determine whether the given relation is a function. (Function or Not a Function)

Question 9
9.

Determine whether the given relation is a function. (Function or Not a Function)

Question 10
10.

Determine whether the given relation is a function. (vor Not a Function)

Question 11
11.

Determine whether the given relation is a function. (Function or Not a Function)

Question 12
12.

Determine whether the given relation is a function. (Function or Not a Function)

Question 13
13.

Watch the video and complete the notes of this section.

Question 14
14.

Determine whether the given relation is a function. (Function or Not a Function)

Question 15
15.

Determine whether the given relation is a function. (Function or Not a Function)

Question 16
16.

Determine whether the given relation is a function. (Function or Not a Function)

Question 17
17.

Determine whether the given relation is a function. (Function or Not a Function)

Question 18
18.

Watch the video and complete the notes of this section.

Question 19
19.

Evaluate each function for the given value.

Question 20
20.

Evaluate each function for the given value.

Question 21
21.

Evaluate each function for the given value.

Main Idea: Arithmetic Sequences

Question 22
22.

Watch the video and complete the notes of this section.

Question 23
23.
Determine whether the sequences are arithmetic. If yes, identify the common difference.


Is this an arithmetic sequence?
_______

What is the common difference? (If it is not a sequence state n/a)
d= _______
Question 24
24.
Determine whether the sequences are arithmetic. If yes, identify the common difference.


Is this an arithmetic sequence?
_______

What is the common difference? (If it is not a sequence state n/a)
d= _______
Question 25
25.
Given the arithmetic sequence, find the next three terms.


9, 13, 17, 21,_______, _______, _______
Question 26
26.
Given the arithmetic sequence, find the next three terms.


-8, -2, 4, 10, _______, _______, _______
Question 27
27.

Watch the video and complete the notes of this section.

Question 28
28.

Write the rule for the nth term, then find a₁₉.



-2, 0, 2, 4, ...

Rule

aₙ=_______


a₁₉=_______

Question 29
29.

Write the rule for the nth term, then find a₁₉.



30, 26, 22, 18, ...

Rule

aₙ=_______


a₁₉=_______

Question 30
30.

Write the rule for the nth term, then find a₁₉.



-11, -8, -5, -2 ...

Rule

aₙ=_______


a₁₉=_______

Main Idea: Geometric Sequences

Question 31
31.

Watch the video and complete the notes of this section.

Question 32
32.
Determine whether the sequences are geometric. If yes, identify the common ratio.


Is this a geometric sequence?
_______

What is the common ratio? (If it is not a sequence state n/a)
r= _______
Question 33
33.
Determine whether the sequences are geometric. If yes, identify the common ratio.


Is this a geometric sequence?
_______

What is the common ratio? (If it is not a sequence state n/a)
r= _______
Question 34
34.
Determine whether the sequences are geometric. If yes, identify the common ratio.


Is this a geometric sequence?
_______

What is the common ratio? (If it is not a sequence state n/a)
r= _______
Question 35
35.
Given the geometric sequence, find the next three terms.


7, -21, 63, _______, _______, _______
Question 36
36.
Given the geometric sequence, find the next three terms.


3072, 768, 192, _______, _______, _______
Question 37
37.
Given the geometric sequence, find the next three terms.


8, 4, 2, _______, _______, _______
Question 38
38.

Watch the video and complete the notes of this section.


Question 39
39.

Write the rule for the nth term in the geometric sequence.



-4, 20, -100, ...

Rule


Question 40
40.

Use the rule from the previous problem to find a₇ of the geometric sequence.


-4, 20, -100, ...


Question 41
41.

Write the rule for the nth term in the geometric sequence.



400, 200, 100, ...

Rule


Question 42
42.

Use the rule from the previous problem to find a₇ of the geometric sequence.


400, 200, 100, ...


Question 43
43.

Write the rule for the nth term in the geometric sequence.



729, -243, 81, ...

Rule


Question 44
44.

Use the rule from the previous problem to find a₇ of the geometric sequence.


729, -243, 81, ...


Main Idea: Growth and Decay

Question 45
45.

Watch the video and complete the notes of this section.

Question 46
46.

Use the exponential growth formula to find the answer to this word problem.



Question 47
47.

Use the exponential growth formula to find the answer to this word problem.



Question 48
48.

Use the exponential growth formula to find the answer to this word problem.



Question 49
49.

Watch the video and complete the notes of this section.

Question 50
50.

Use the exponential decay formula to find the answer to this word problem.


Question 51
51.

Use the exponential decay formula to find the answer to this word problem.


Question 52
52.

Use the exponential decay formula to find the answer to this word problem.