B

1003049303

Level: 
B
Let \( f(x)=-|x+3| \). Identify which of the following statements is false.
The function \( f \) is even.
The function \( f \) is decreasing in the interval \( [3, \infty) \).
The function \( f \) has maximum at \( x=-3 \).
The range of the function \( f \) is the interval \( (-\infty, 0] \).

1003049302

Level: 
B
Let \( f(x)=2|-x|+1 \). Identify which of the following statements is false.
The function \( f \) is an injective (one-to-one) function.
The function \( f \) is increasing in the interval \( [0, \infty) \).
The function \( f \) has minimum at \( x=0 \).
The function \( f \) is non-increasing in the interval \( (-\infty, 0] \).

1003049301

Level: 
B
Let \( f(x)=\frac12 (|x|-3) \). Identify which of the following statements is false.
The range of the function \( f \) is the interval \( [-3,\infty ) \).
The domain of the function \( f \) is the interval \( (-\infty,\infty) \).
The function \( f \) is even.
The function \( f \) is bounded below.

1003048505

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