2000002401
Level:
B
Find the domain of the function \( f(x) = \sqrt{ \frac{1-x}{x+1}}\).
\( ( -1 , 1 ] \)
\( ( -1 , 1 ) \)
\( \mathbb{R} \setminus \{ -1,1\} \)
\( ( -\infty , 1) \cup [ 1, \infty) \)
B
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 \((2, 5)\).
\( (5,-2) \)
\( (5,2) \)
\( (-2,-5) \)
\( (-5,-2) \)
2000001704
Level:
B
The graphs represent the parts of the functions \(f(x)= \sqrt[3]{x}\), \(g(x)=\sqrt[5]{x}\) and \(h(x)=\sqrt[9]{x}\). Choose the legend which assigns the correct color of the graph to each of the given functions.
\(f\) — red, \(g\) — green, \(h\) — blue
\(f\) — blue, \(g\) — green, \(h\) — red
\(f\) — green, \(g\) — red, \(h\) — blue
\(f\) — green, \(g\) — blue, \(h\) — red