Properties of functions

1103025601

Level: 
A
The function f is given by the graph. Which of the following statements is true?
The function f has a minimum and a maximum at every x of its domain.
The function f has the minimum at x=−6 and the maximum at x=3.
The function f has the maximum at x=3 and it has no minimum.
The function f has neither a minimum nor a maximum.

1103028409

Level: 
A
The function f is given by the graph. Which of the statements about the domain and the range of the function f is true?
D(f)=[−3;4];H(f)=[−2;2)∪(2;3]∪{5}
D(f)=[−3;1)∪(1;4];H(f)=[−2;2)∪(2;3]
D(f)=[−3;4];H(f)=[−2;5]
D(f)=[−3;4];H(f)=[−2;3]∪{5}

1103030803

Level: 
A
There is a part of the graph of the function f(x)=x3 in the picture. Identify which of the following statements is true.
The function f is increasing in the interval [−1;1].
The function f is decreasing in the interval [−1;1].
The function f is non-decreasing and it is not increasing in the interval [−1;1].
The function f is non-increasing in the interval [−1;1].

1103030806

Level: 
A
The function f is given by the graph. Identify which of the following statements is false.
The function f is non-increasing in the interval [−3;2].
The function f is not increasing.
The function f is decreasing in the interval [2;5].
The function f is non-decreasing in the interval [−1;2].