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?
\( D(f) =[-3;4]; H(f)=[-2;2)\cup(2; 3]\cup\{5\} \)
\( D(f) =[-3;1)\cup(1; 4]; H(f)=[-2; 2)\cup(2; 3] \)
\( D(f)=[-3;4]; H(f)=[-2;5] \)
\( D(f) =[-3;4]; H(f)=[-2;3]\cup\{5\} \)

1103030802

Level: 
A
The function \( f \) is given by the graph. Identify which of the following statements is true.
The function \( f \) is neither increasing nor decreasing.
The function \( f \) is increasing.
The function \( f \) is non-decreasing.
The function \( f \) is increasing in the interval \( [ -4;1] \).

1103030803

Level: 
A
There is a part of the graph of the function \( f(x)=x^3 \) 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 \( [ -1;2 ] \).