C

9000149309

Level: 
C
Consider a dilatation which maps A onto B. The center is the dilatation is S. Find a correct statement.
The point S is on the line through the points A and B.
The points S, A and B form a right triangle ABS.
The distance from S to A is smaller than the distance from A to B.
The points S, A and B form a triangle ABS with at least two sides of equal length.

9000145403

Level: 
C
Identify a true statement on the function f(x)=4−3xx(1−x).
The function f has a local minimum at the point x=23.
The function f has a local maximum at the point x=23.
The global maximum of f on R∖{0.1} is at x=23.
The global minimum of f on R∖{0.1} is at x=23.

9000145405

Level: 
C
Identify a true statement on the function f(x)=14x4−23x3−32x2+2 on (−2;4).
The function f has a local maximum at the point x=0.
The function f has a local minimum at the point x=0.
The global maximum of f on this interval is at x=0.
The global minimum of f on this interval is at x=0.

9000145406

Level: 
C
Identify a true statement on the function f(x)=x3−12x+20 on (−3;4).
The global minimum of f on this interval is at x=2.
The global maximum of f on this interval is at x=2.
The function f has a local minimum at the point x=−2.
The global minimum of f on this interval is at the point x=−2.

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.