9000010607 Level: AIdentify a function which is one-to-one on the interval \([ - 2;2] \).\(f(x) = x^{3} - 2\)\(f(x) = x^{2} - 2\)\(f(x) = -x^{2} + 2\)\(f(x) = x^{-2} + 2\)\(f(x) = \frac{1} {x} - 2\)\(f(x) = x^{4}\)
9000009908 Level: AConsider a function \[ f(x) = \frac{-3} {x} \] defined on the domain \(\mathrm{Dom}(f) =\mathbb{R}\setminus \{ - 1.0\}\). Find the range of this function.\(\mathbb{R}\setminus \{0.3\}\)\(\mathbb{R}\setminus \{0\}\)\(\mathbb{R}\setminus \{ - 3.0\}\)\(\mathbb{R}\)
9000010501 Level: AFor \(x\in \mathbb{R}\), \(x > 0\), simplify the following expression. \[ \root{3}\of{x^{5}} \]\(x\root{3}\of{x^{2}}\)\(x^{2}\root{3}\of{x^{2}}\)\(x^{3}\root{3}\of{x^{2}}\)\(x^{2}\root{5}\of{x^{3}}\)
9000010502 Level: AFor \(x\in \mathbb{R}\), \(x > 0\), simplify the following expression. \[ \root{3}\of{x^{5}}\cdot \root{3}\of{x^{4}} \]\(x^{3}\)\(\root{3}\of{x^{12}}\)\(\root{3}\of{x}\)\(x\root{3}\of{x^{4}}\)
9000010504 Level: AFor \(x\in \mathbb{R}\), \(x > 0\), simplify the following expression. \[ \root{3}\of{x^{2}} : \root{3}\of{x} \]\(\root{3}\of{x}\)\(x\)\(1\)\(\root{9}\of{x}\)
9000010507 Level: AFor \(x\in \mathbb{R}\), \(x > 0\), simplify the following expression. \[ x^{3} : \root{}\of{x} \]\(x^{2}\root{}\of{x}\)\(x^{3}\root{}\of{x}\)\(\root{}\of{x^{3}}\)\(\root{6}\of{x}\)
9000013505 Level: AWrite the number \(3\root{3}\of{3}\) in an equivalent form involving just radical of a single number or radical of a single power.\(\root{3}\of{81}\)\(\sqrt{9}\)\(\root{3}\of{27}\)\(\root{3}\of{3^{2}}\)
9000008007 Level: AGiven the functions \(f(x) = -\frac{3} {x}\) and \(g(x) = 6\), solve \(f(x) = g(x)\).\(-\frac{1} {2}\)\(- 2\)\(3\)\(6\)
9000007205 Level: AGiven the linear function \[ f(x) = -3x + 2 \] solve the inequality \(f(x)\geq 1\).\(x\leq \frac{1} {3}\)\(x\geq \frac{1} {3}\)\(x\leq \frac{2} {3}\)\(x\geq 2\)
9000007204 Level: AAmong the following functions identify an odd function \(f\) which satisfies \(f(-2) = 4\).\(f(x) = -2x\)\(f(x) = -2x + 1\)\(f(x) = x + 2\)\(f(x) = 2x + 8\)