C | math4u.vsb.cz

1003047502

Level:

Find the following limit.

lim_{n \to \infty} \frac{4}{2 \sqrt{n} - 3}

0

2

\frac{1}{2}

4

\infty

1003047501

Level:

Find the following limit.

lim_{n \to \infty} (2 \sqrt{n} - 3)

\infty

2

- 1

0

- 3

1003029303

Level:

The probability of a man hitting a target is

0.9

. If the man shoots three times, what is the probability that he hits the target at least once? Round the result to three decimal places.

0.999

0.729

0.027

0.243

1103082706

Level:

Identify the graph of the function

f (x) = \sqrt{| - x |}; x \in [- 9; 9]

1103082705

Level:

Function

f

is given completely by the next graph. Identify which of the following statements is false.

f (x) = \log_{2} | x |; x \in [0.25; 8]

f (x) = | \log_{2} x |; x \in [0.25; 8]

f (x) = | - \log_{2} x |; x \in [0.25; 8]

f (x) = | \log_{\frac{1}{2}} x |; x \in [0.25; 8]

1103082704

Level:

Function

f

is given completely by the next graph. Identify which of the following statements is true.

f (x) = 2^{| x |}; x \in [- 2; 2]

f (x) = | 2^{x} |; x \in [- 2; 2]

f (x) = | x^{2} + 1 |; x \in [- 2; 2]

f (x) = | 2^{- x} |; x \in [- 2; 2]

1103082703

Level:

Function

f

is given completely by the next graph. Identify which of the following statements is true.

f (x) = - | \sin x |; x \in [- 2 π; 2 π]

f (x) = | \cos x |; x \in [- 2 π; 2 π]

f (x) = | - \sin x |; x \in [- 2 π; 2 π]

f (x) = - 0.5 \cdot \sin x; x \in [- 2 π; 2 π]

1103082702

Level:

Function

f

is given completely by the graph. Identify which of the following statements is true.

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

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

f (x) = - | x^{2} + 1 |; x \in [- 2; 2]

f (x) = | - x^{2} | + 1; x \in [- 2; 2]

1103082701

Level:

Function

f

is given completely by the graph. Identify which of the following statements is false.

f (x) = \frac{1}{x}; x \in [- 2; - 0.5]

f (x) = | - \frac{1}{x} |; x \in [- 2; - 0.5]

f (x) = \frac{1}{| x |}; x \in [- 2; - 0.5]

f (x) = - \frac{1}{x}; x \in [- 2; - 0.5]

1103064107

Level:

Decide which of the following diagrams shows the solution set of the given inequality.

{(\frac{1}{3})}^{x (x + 1)} \geq {(\frac{1}{27})}^{2}

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