AnswersFL-1200330-Algebra 2 Sem 1 - FlexRelations and Functions

Relations and Functions Answers

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1
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Which statements describe how the reasonable domain and range compare to the mathematical ones? Check all that apply.

A
The reasonable domain has a minimum value.
B
The reasonable domain does not include zero.
C
The reasonable range has a minimum value of 30,000.
D
The reasonable range includes zero.
E
The reasonable range has an implied, but unknown, maximum value.
2
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The mathematical model is a linear function, so its domain is . However, climate on Earth would restrict the domain, because there are normal coldest and hottest temperatures. A reasonable domain based on average temperatures on Earth could be .

A
–20 < x < 100
B
–5 < x < 33
C
> -32
D
> 0
3

The mathematical model is a linear function, so its domain is . However, climate on Earth would restrict the domain, because there are normal coldest and hottest temperatures. A reasonable domain based on average temperatures on Earth could be .

A
x > -32
B
> -160/9
C
> 0
D
all real numbers
4

If the maximum length of the plaza can be 110 meters, how does the reasonable range compare to that of the mathematical one?

A
The reasonable range is y ≥ 0, while the mathematical range is y ≥ –20.25.
B
The reasonable range is 0 ≤ y ≤ 11,110, while the mathematical range is y ≥ –20.25.
C
The reasonable range is –7 ≤ y ≤ 2, while the mathematical range is y ≥ –14.
D
The reasonable range is y ≥ 0, while the mathematical range is y ≥ –14.
5

Which best compares the mathematical domain and range with the reasonable domain and range?

A
mathematical: {x ∈ R} {y ∈ R}reasonable: x > 0, y ≥ 0
B
mathematical: {x ∈ R ∣ x ≠ 0} {y ∈ R ∣ y ≠ 0}reasonable: x > 0, y > 0
C
mathematical: {x ∈ R} {y ∈ R}reasonable: x ≥ 0, y ≥ 0
D
mathematical: {x ∈ R ∣ x ≠ 0} {y ∈ R ∣ y ≠ 0}reasonable: x ≥ 0, y ≥ 0

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