C

9000145408

Level: 
C
Identify a true statement on the function f(x)=(x−1)3(x+1)2.
The function f has neither local minimum nor maximum at x=1.
The global maximum of f on R is at x=−1.
The function f has a local maximum at x=−15.
The function f has three local extrema. These extrema are at x=1, x=−1 and x=−15.

9000140005

Level: 
C
Solve the following equation with unknown x and a real parameter a∈R∖{0}. ax−4ax=1−2a
ParameterSolution seta=−2∅a=2R∖{0}a∉{−2;0;2}{a+2}
ParameterSolution seta=2R∖{0}a∉{0;2}{a+2}
ParameterSolution seta=2Ra∉{0;2}{a+2}
ParameterSolution seta=2R∖{1}a∉{0;2}{a+2}

9000140004

Level: 
C
Solve the following equation with unknown x and a real parameter a∈R. a2(x−1)ax−3=3
ParameterSolution seta=0∅a=3R∖{1}a∉{0;3}{a+3a}
ParameterSolution seta=0∅a=3{1}a∉{0;3}{a+3a}
ParameterSolution seta∈{0;3}∅a∉{0;3}{a+3a}
ParameterSolution seta=0∅a=3Ra∉{0;3}{a+3a}