Tiny House Living and Functions Quiz

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Questions and Answers

45 percent of people surveyed preferred living in a larger house to afford their own home.

False (B)

The US National Association of Home Builders conducted a survey about housing preferences.

True (A)

Respondents were willing to make compromises in order to afford their own home.

True (A)

The survey indicated that a majority of respondents preferred living in apartments over houses.

<p>False (B)</p> Signup and view all the answers

The choice of living in a smaller house was the most common compromise among respondents.

<p>True (A)</p> Signup and view all the answers

Accommodations larger than 40m2 are usually viewed as 'tiny homes'.

<p>False (B)</p> Signup and view all the answers

The classification of 'tiny homes' often depends on their size.

<p>True (A)</p> Signup and view all the answers

All accommodations are classified as tiny homes regardless of their size.

<p>False (B)</p> Signup and view all the answers

Tiny homes are typically smaller than 40m2.

<p>True (A)</p> Signup and view all the answers

The size criterion for tiny homes is irrelevant for their classification.

<p>False (B)</p> Signup and view all the answers

It is legal to set up a building in a garden without planning permission in many countries.

<p>False (B)</p> Signup and view all the answers

Zoning and building regulations pose challenges for both private properties and social projects.

<p>True (A)</p> Signup and view all the answers

Tiny houses are exempt from planning permission requirements in most regions.

<p>False (B)</p> Signup and view all the answers

Setting up a very small building requires planning permission in many jurisdictions.

<p>True (A)</p> Signup and view all the answers

Obtaining planning permission is a straightforward process for tiny house developers.

<p>False (B)</p> Signup and view all the answers

If something is implicit, it is expressed very clearly.

<p>False (B)</p> Signup and view all the answers

To pursue an interest or policy means to abandon it.

<p>False (B)</p> Signup and view all the answers

An implicit idea can lead to misunderstandings.

<p>True (A)</p> Signup and view all the answers

A clear expression of a thought is inherently implicit.

<p>False (B)</p> Signup and view all the answers

Pursuing a policy means actively engaging in its implementation.

<p>True (A)</p> Signup and view all the answers

The function $f(x)= ext{loga}(x+a)$ is defined for all real $x$ when $a>1$.

<p>False (B)</p> Signup and view all the answers

If $a = 2$, then $f(x) = ext{log}_2(x + 2)$ is an increasing function for all $x$ in its domain.

<p>True (A)</p> Signup and view all the answers

For any value of $a > 1$, the function $f(x)= ext{loga}(x+a)$ has a vertical asymptote.

<p>True (A)</p> Signup and view all the answers

The range of the function $f(x)= ext{loga}(x+a)$ is all real numbers.

<p>True (A)</p> Signup and view all the answers

If $x = 0$, then $f(0) = ext{loga}(0 + a)$ equals 0 for any $a > 1$.

<p>False (B)</p> Signup and view all the answers

Flashcards

Majority preferred larger house?

False. 45% preferred a larger house, indicating a willingness to compromise on homeownership.

US Home Builders Survey?

True. The survey was conducted by the US National Association of Home Builders.

Compromises to own home?

True. Respondents were willing to make concessions to become homeowners.

Apartments over houses?

False. The survey suggested a preference for houses over apartments.

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Smaller house compromise?

True. Choosing a smaller house was a common compromise.

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Tiny home size >40m2?

False. Tiny homes are typically smaller than 40m2.

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Tiny home size matters?

True. Size is a key factor in classifying a home as 'tiny'.

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All homes are tiny homes?

False. Size is a determining factor in classifying tiny homes.

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Tiny homes <40m2?

True. Tiny homes are generally less than 40m2.

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Size irrelevant to tiny homes?

False. Size is a relevant factor in tiny home classification.

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Building without permission?

False. Building typically requires approval.

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Zoning challenges?

True. Regulations impact both private and social projects.

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Tiny houses exempt?

False. Tiny houses generally need permission.

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Small building needs permit?

True. Even small structures often require permits.

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Easy planning permission?

False. Obtaining permits can be complex.

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Implicit = Clear?

False. Implicit means implied, not clearly expressed.

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Pursue = Abandon?

False. To pursue means to continue or work towards.

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Implicit idea = Misunderstanding?

True. Unclear ideas can lead to misinterpretations.

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Clear = Implicit?

False. Clear expressions are explicit.

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Pursuing policy = Active?

True. Pursuing means actively working to achieve a policy's goals.

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f(x) always defined?

False. The function is defined when x > -a.

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Increasing function?

True. As x increases, log_2(x+2) also increases.

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Function has asymptote?

True. There's a vertical asymptote at x = -a.

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Range is all real numbers?

True. Log functions can take on any real number.

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f(0) equals 0?

False. f(0) = log_a(a) = 1.

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Study Notes

Tiny House Survey

  • 45% of respondents in a US National Association of Home Builders survey said they would live in a smaller house to afford homeownership
  • Obstacles to living in a tiny house include zoning and building regulations
  • Many countries require planning permission before setting up any building, even a small one, in a garden or field

Tiny house living definition

  • There is no standard definition or size limit for "tiny houses," but 40m2 is a common benchmark

Implicit Meaning

  • Implicit means something is implied or understood without explicitly stating it

Function definition

  • Function f is defined as f(x) = loga(x+a) for a>1
  • The domain of the function is D, and the range is R, both subsets of the real numbers

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