More Power Functions (VCE SSCE Mathematical Methods): Quizzes

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More Power Functions
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What is x^{- rac{1}{n}} equivalent to?

rac{1}{sqrt[n]{x}}

What is the maximal domain of f(x) = x^{- rac{1}{4}}?

mathbbR+mathbb{R}^+ (positive real numbers)

What is the maximal domain of f(x) = x^{- rac{1}{5}}?

mathbbRsetminus0mathbb{R} setminus {0} (all reals except 0)

What are the asymptotes of f(x) = x^{- rac{1}{n}}?

x=0x = 0 and y=0y = 0

When nn is odd, what type of function is f(x) = x^{- rac{1}{n}}?

Odd function

Which point do all graphs of f(x) = x^{- rac{1}{n}} pass through?

(1,1)(1, 1)

What is the maximal domain of f(x) = x^{ rac{3}{2}}?

[0,infty)[0, infty) (non-negative reals)

What is the maximal domain of f(x) = x^{ rac{2}{3}}?

mathbbRmathbb{R} (all real numbers)

For f(x) = x^{ rac{p}{q}}, which parameter determines the domain?

The denominator qq

What is the value of 8^{ rac{2}{3}}?

44

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