2000002402
Level:
B
Find the domain of the function \( f(x)= \frac{x^2 -1}{(x+1)^2}\).
\( \mathbb{R} \setminus \{-1\} \)
\( (-1;\infty ) \)
\( (-\infty; -1) \cup (1;\infty) \)
\( [ -1; \infty) \)
B
2000002401
Level:
B
Find the domain of the function \( f(x) = \sqrt{ \frac{1-x}{x+1}}\).
\( ( -1 ; 1 ] \)
\( ( -1 ; 1 ) \)
\( \mathbb{R} \setminus \{ -1;1\} \)
\( ( -\infty ; 1) \cup [ 1; \infty) \)
2100001702
Level:
B
Identify which of the graphs represents a part of the function \(f(x) = \sqrt[3]{x} \).
2100001701
Level:
B
Identify which of the graphs represents a part of the function \(f(x) = \sqrt{x} \).
2000001806
Level:
B
Find the point that is obtained by translating the point \([-2; 1]\) by two times the vector \( (-2; 3) \).
\( [-6; 7] \)
\( [-4; 4] \)
\( [0; -2] \)
\( [-6; 5] \)
2000001805
Level:
B
Find the point that is obtained by translating the point \([3; 5]\) by the vector \((4; 2)\).
\( [7;7] \)
\( [-1;3] \)
\( [12;10] \)
\( [7;3] \)
2000001804
Level:
B
Choose the parallel vector to the vector \((4; 2)\).
\( (-2; -1) \)
\( (2; -4) \)
\( (1;2) \)
\( (-1; 2) \)
2000001803
Level:
B
Choose the parallel vector to the vector \( (-1; 3)\).
\( (-3; 9) \)
\( (3; 1) \)
\( (-2; 4) \)
\( (0; 3) \)
2000001802
Level:
B
Choose the perpendicular vector to the vector \( (-4; 8)\).
\( (-2;-1) \)
\( (1;2) \)
\( (-2;1) \)
\( (2;-1) \)
2000001801
Level:
B
Find the perpendicular vector to the vector \((2; 5)\).
\( (5;-2) \)
\( (5;2) \)
\( (-2;-5) \)
\( (-5;-2) \)