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9000019903

Level:

Identify a true statement related to the following matrix

A

A = (\begin{matrix} - 2 & 3 & 10 & 5 & - 5 \\ 6 & 11 & - 7 & 2 & - 3 \\ - 7 & 15 & - 6 & 2 & 4 \\ - 8 & 1 & 13 & - 5 & 0 \end{matrix})

A

is a

4 \times 5

matrix and

a_{(3, 2)} = 15

A

is a

4 \times 5

matrix and

a_{(2, 3)} = 15

A

is a

5 \times 4

matrix and

a_{(3, 2)} = - 7

A

is a

5 \times 4

matrix and

a_{(3, 2)} = 15

9000011103

Level:

In the following list identify an increasing function.

f (x) = x^{5}

f (x) = x^{2}

f (x) = x^{- 3}

f (x) = x^{- 4}

f (x) = 2 x^{0}

9000010607

Level:

Identify 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:

Consider a function

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

defined on the domain

Dom (f) = R ∖ {- 1.0}

. Find the range of this function.

R ∖ {0.3}

R ∖ {0}

R ∖ {- 3.0}

R

9000010501

Level:

For

x \in R

x > 0

, simplify the following expression.

\sqrt[3]{x^{5}}

x \sqrt[3]{x^{2}}

x^{2} \sqrt[3]{x^{2}}

x^{3} \sqrt[3]{x^{2}}

x^{2} \sqrt[5]{x^{3}}

9000010502

Level:

For

x \in R

x > 0

, simplify the following expression.

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

x^{3}

\sqrt[3]{x^{12}}

\sqrt[3]{x}

x \sqrt[3]{x^{4}}

9000010504

Level:

For

x \in R

x > 0

, simplify the following expression.

\sqrt[3]{x^{2}} : \sqrt[3]{x}

\sqrt[3]{x}

x

1

\sqrt[9]{x}

9000010507

Level:

For

x \in R

x > 0

, simplify the following expression.

x^{3} : \sqrt[]{x}

x^{2} \sqrt[]{x}

x^{3} \sqrt[]{x}

\sqrt[]{x^{3}}

\sqrt[6]{x}

9000013505

Level:

Write the number

3 \sqrt[3]{3}

in an equivalent form involving just radical of a single number or radical of a single power.

\sqrt[3]{81}

\sqrt{9}

\sqrt[3]{27}

\sqrt[3]{3^{2}}

9000013506

Level:

Write the number

\sqrt[3]{16000}

in an equivalent form with smallest possible number under the radical.

20 \sqrt[3]{2}

10 \sqrt[3]{4}

100 \sqrt[3]{2}

4 \sqrt[3]{10}

A

9000019903

9000011103

9000010607

9000009908

9000010501

9000010502

9000010504

9000010507

9000013505

9000013506

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