1103025602
Level:
A
Identify which of the graphs represents the function with the minimum at \( x=3 \).
A
1103025601
Level:
A
The function \( f \) is given by the graph. Which of the following statements is true?
The function \( f \) has a minimum and a maximum at every \( x \) of its domain.
The function \( f \) has the minimum at \( x=-6 \) and the maximum at \( x=3 \).
The function \( f \) has the maximum at \( x=3 \) and it has no minimum.
The function \( f \) has neither a minimum nor a maximum.
1003041701
Level:
A
Find the probability that a two-digit number selected at random is even or a power of \( 2 \).
\( \frac{45}{90}=0{.}5 \)
\( \frac{48}{90}\doteq 0{.}5333 \)
\( \frac{42}{90}\doteq 0{.}4667 \)
\( \frac{45}{90}\cdot\frac3{90}\doteq 0{.}1667 \)
1003041601
Level:
A
The wooden cube with the edges of length \( 5\,\mathrm{cm} \) has faces painted in blue. Suppose we cut the cube into small unit cubes (the edge length is \( 1\,\mathrm{cm}\)) and select one of the unit cubes at random. What is the probability that the selected cube has at least two faces painted in blue?
\( 0{.}352 \)
\( 0{.}288 \)
\( 0{.}480 \)
\( 0{.}432 \)
1003023401
Level:
A
An angle of radian measure \( 1 \) is in standard position. In which quadrant lies its terminal side?
I.
II.
III.
IV.
1103055614
Level:
A
Determine which of the following conditions for \( x \) defines the same set as is defined by the given diagram.
\( x\in(-3;1] \)
\( x\in[-3;1) \)
\( -3\leq x\leq1 \)
\( x \leq 1 \) or \(x\geq -3\)
1003055613
Level:
A
Give the intersection \( A\cap B \) if \( A=[-7;1] \) and \( B=(1;2) \).
\( \emptyset \)
\( \{1\} \)
\( [-7;2) \)
\( (-7;2) \)
1003055612
Level:
A
Find the intersection \( A\cap B' \) if \( A=(-4;+\infty) \) and \(B=(-\infty;6) \). (By \(B'\) the complement of the set \( B \) is denoted.)
\( [ 6;+\infty) \)
\( (-4;6) \)
\( [-4;6] \)
\( (-\infty;4] \)
1003055611
Level:
A
Let \( A=(-1;5] \) and \( B=[ -1;7) \). Give the union \( A\cup B\).
\( [ -1;7 ) \)
\( ( -1;7 ) \)
\( ( -1;5 ) \)
\( [ -1;5] \)
1003055610
Level:
A
Let \( A=(-3;5] \) and \( B=[-1;+\infty) \). Find the intersection \( A\cap B \).
\( [ -1;5] \)
\( (-1;5) \)
\( (-3;+\infty) \)
\( (-1;5] \)