2010012402
Level:
A
Identify a function which is decreasing on
\((-3;2 )\).
\(f \colon y = (x - 2)^{2}\)
\(f \colon y = (x + 2)^{2}\)
\(f \colon y = (x +3)^{2}\)
\(f \colon y = x^{2}-2x\)
\(f \colon y =-x^{2}+1\)
\(f \colon y = x^{3}\)
Power and radical functions
2010012401
Level:
A
Identify a function which is increasing on
\((-1;\infty )\).
\(f\colon y = x^{3}\)
\(f\colon y= x^{4}\)
\(f\colon y= -x^{3}\)
\(f\colon y = x^{-4}\)
\(f\colon y =- x^{-2}\)
\(f\colon y = -x^{-3}\)
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 \(f(x) = \sqrt{x} \).
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
2000001703
Level:
B
The graphs represent the parts of the functions \(f(x)= \sqrt{x}\), \(g(x)=\sqrt[4]{x}\) and \(h(x)=\sqrt[10]{x}\). 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