1003072702 Level: BWhich of the following functions is bounded?\( g(x)=|x-2|-|x| \)\( f(x)=|x-2|+|x| \)\( h(x)=|x+2|+|x| \)\( m(x)=|2x|-|x| \)
1003072703 Level: BFind the true statement about the domain or the range of the function \( f(x)=|x+2|-|1-x| \).\( H(f)=[-3;3] \)\( D(f)=[-3;3] \)\( H(f)=\mathbb{R} \)\( D(f)=[-2;1] \)
1003072704 Level: BFind the true statement about the function \( f(x)=2|x-2|-|x-1|-x \).The function \( f \) has minimum at \( x=3 \).The function \( f \) has maximum at \( x=1 \).The function \( f \) has minimum at \( x=-3 \).The function \( f \) has no minimum.
1003072705 Level: BFind the false statement about the function \( f(x)=|x+1|-|x-2|+|x| \).The function \( f \) is injective (one-to-one).The function \( f \) has minimum at \( x=-1 \).The function \( f \) is bounded below.The range of the function \( f \) is \( [-2;\infty) \).
1103072501 Level: BFunction \( f \) is given by the graph. Identify which of the following statements is true.\( f(x)=x-|x|;\ x\in[-4;4] \)\( f(x)=x+|x|;\ x\in[-4;4] \)\( f(x)=|x|-x;\ x\in[-4;4] \)\( f(x)=-x-|x|;\ x\in[-4;4] \)
1103072502 Level: BFunction \( f \) is given by the graph. Identify which of the following statements is true.\( f(x)=|x+1|-x;\ x\in[-4;4] \)\( f(x)=|x|-x+1;\ x\in[-4;4] \)\( f(x)=x-|x+1|;\ x\in[-4;4] \)\( f(x)=x-|x|+1;\ x\in[-4;4] \)
1103072503 Level: BFunction \( f \) is given by the graph. Identify which of the following statements is true.\( f(x)=|x|-|x-2|;\ x\in[-4;4] \)\( f(x)=|x|-|x+2|;\ x\in[-4;4] \)\( f(x)=|x+2|-|x|;\ x\in[-4;4] \)\( f(x)=|x-2|-|x|;\ x\in[-4;4] \)
1103072504 Level: BFunction \( f \) is given by the graph. Identify which of the following statements is false.\( f(x)=|x-1|-|2x|;\ x\in[-4;4] \)\( f(x)=|2x|-|x-1|;\ x\in[-4;4] \)\( f(x)=|2x|-|1-x|;\ x\in[-4;4] \)\( f(x)=2|x|-|x-1|;\ x\in[-4;4] \)
1103072505 Level: BIdentify which of the graphs represents the function \( f(x)=|2x-4|-|x-1|;\ x\in [-4;4] \).
1103072506 Level: BIdentify which of the graphs below represents the function \( f(x)=x+1-|x+1|;\ x\in [-4;4] \).