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1003118004

Level:

The number

\sqrt{3 - 2 \sqrt{2}}

equals:

\sqrt{2} - 1

1 - \sqrt{2}

\sqrt{2}

\sqrt{3} - \sqrt{2 \sqrt{2}}

1003118003

Level:

Give the multiplicative inverse of

\frac{\sqrt[3]{4} - \sqrt[3]{2}}{2}

2 \sqrt[3]{2} + 2 + \sqrt[3]{4}

\sqrt[3]{12} + 2 + \sqrt[3]{4}

2 \sqrt[3]{12} + 2 + \sqrt[3]{4}

\sqrt[3]{2} + 2 + \sqrt[3]{4}

1003118002

Level:

The number

\sqrt{7 - 4 \sqrt{3}} + \sqrt{7 + 4 \sqrt{3}}

is equal to:

4

\sqrt{14}

16

8 \sqrt{3}

1003118001

Level:

The number

3 \sqrt[3]{3} \cdot \sqrt[4]{3 \sqrt[3]{3}} \cdot \sqrt[5]{3 \sqrt[3]{3} \cdot \sqrt[4]{3 \sqrt[3]{3}}}

is equal to:

9

3

\sqrt{3}

\sqrt[3]{3}

1103124502

Level:

Identify which of the graphs below represents the function

f (x) = | \frac{1 - 2 x}{x - 4} |; x \in [- \frac{5}{2}; \frac{5}{2}]

1103124602

Level:

Let

f (x) = \frac{x^{2} - x - 6}{x^{2} - 9}

. One of the following pictures shows a part of the graph of

f

. Choose the picture.

1003118307

Level:

Identify which of the following functions has the maximum at

x = - \frac{1}{2}

m (x) = - | \frac{4 x + 2}{x - 2} |

g (x) = | - \frac{5 x + 10}{2 x - 1} |

f (x) = - | \frac{2 x + 1}{4 x + 2} |

h (x) = - | \frac{x + 1}{2 x - 2} |

1003118306

Level:

Find the true statement about the function

f (x) = | \frac{4 x - 4}{2 x - 1} |

The domain of the function

f

is the set

(- \infty; \frac{1}{2}) \cup (\frac{1}{2}; \infty)

The range of the function

f

is the set

[0; 2) \cup (2; \infty)

The function

f

has the minimum at

x = 4

The function

f

is an injective (one-to-one) function.

1003118305

Level:

Find the false statement about the function

f (x) = | \frac{1}{2 - 3 x} - 3 |

The domain of the function

f

is the set

(- \infty; \frac{3}{2}) \cup (\frac{3}{2}; \infty)

The range of the function

f

is the interval

[0; \infty)

The function

f

has the minimum at

x = \frac{5}{9}

The function

f

is bounded below.

1003118304

Level:

Identify which of the following functions is bounded.

h (x) = \frac{3 x - 6}{2 x - 4}

f (x) = \frac{3 x - 6}{2 x}

g (x) = 3 - \frac{6}{2 x}

m (x) = | \frac{4 x - 3}{2 x - 6} |

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