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1 of 8 0-day streak

Lesson Practice

Find the maximal domain of an algebraic function

DIFFICULTYintro standard challenge exam

QUESTION TYPEMix of allChange

Linear denominator Linear square-root radicand NOWMix of allRecommended

Question 1 of 8

No calculator

Let \(f(u)\) be the function defined by

f(u)=\sqrt{2\left(u-\frac{1}{2}\right)}

(a)1 mark

What domain restriction is contributed by the square-root radicand \(2\left(u-\frac{1}{2}\right)\)?

u\in\left[\frac{1}{2},\;\infty\right)

u\in\left(\frac{1}{2},\;\infty\right)

(b)1 mark

Choose the domain that satisfies every restriction in the definition of f

u\in\mathbb{R}

u\in\left(\frac{1}{2},\;\infty\right)

u\in\left(-\infty,\;\frac{1}{2}\right]

u\in\left[\frac{1}{2},\;\infty\right)