Properties of functions

1003048505

Level: 
B
Every real number x can be written as x=c+d, where c is an integer and d∈[0;1). Then c is called the integer part of x and is denoted by [x]. Which of the following functions has the biggest primitive period?
g(x)=(−1)[x]
f(x)=[2x]−2x
m(x)=3[x]−3x
h(x)=[x]−x

1103048503

Level: 
A
Let f be a periodic function with period 4. The diagram shows a part of the graph of f. Identify which of the following statements is false.
The function f is an odd function.
The function f is increasing in the interval [14;15].
The function f has maximum at x=−5.
The function f is a bounded function.

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}