1003072701 Level: BWhich of the following functions is neither even nor odd?\( h(x)=|x+1|+|x+1| \)\( f(x)=|x+1|+|x-1| \)\( g(x)=|x+1|-|x-1| \)\( m(x)=|x-1|-|x+1| \)
1003049204 Level: CLet \( f(x)=|x| \). Identify which of the statements is false.\( \forall a\text{, }b\in\mathbb{R}\colon f(a+b)=f(a)+f(b) \)\( \forall a\text{, }b\in\mathbb{R}\colon f(a\cdot b)=f(a)\cdot f(b) \)\( \forall a\in\mathbb{R}\text{, }b\in\mathbb{R}\setminus\{0\}\colon f(\frac ab)=\frac{f(a)}{f(b)} \)\( \forall a\in\mathbb{R}\colon f(a)=f(-a) \)
1003049202 Level: CLet \( f(x)=|x|-|3-2|x| | \). Identify which of the following function values is the smallest.\( f(-6.5) \)\( f(-2) \)\( f(0) \)\( f(0.5) \)
1003049201 Level: BLet \( f(x)=2|2x+3|-|x|\left|\frac12-x\right|\). Identify which of the following function values is the highest.\( f(2) \)\( f(0) \)\( f(-1.5) \)\( f(3.5) \)
1103072506 Level: BIdentify which of the graphs below represents the function \( f(x)=x+1-|x+1|;\ x\in [-4;4] \).
1103072505 Level: BIdentify which of the graphs represents the function \( f(x)=|2x-4|-|x-1|;\ x\in [-4;4] \).
1103072504 Level: BFunction \( f \) is given by the graph. Identify which of the following statements is false.\( f(x)=|x-1|-|2x|;\ x\in[-4;4] \)\( f(x)=|2x|-|x-1|;\ x\in[-4;4] \)\( f(x)=|2x|-|1-x|;\ x\in[-4;4] \)\( f(x)=2|x|-|x-1|;\ x\in[-4;4] \)
1103072503 Level: BFunction \( f \) is given by the graph. Identify which of the following statements is true.\( f(x)=|x|-|x-2|;\ x\in[-4;4] \)\( f(x)=|x|-|x+2|;\ x\in[-4;4] \)\( f(x)=|x+2|-|x|;\ x\in[-4;4] \)\( f(x)=|x-2|-|x|;\ x\in[-4;4] \)
1103072502 Level: BFunction \( f \) is given by the graph. Identify which of the following statements is true.\( f(x)=|x+1|-x;\ x\in[-4;4] \)\( f(x)=|x|-x+1;\ x\in[-4;4] \)\( f(x)=x-|x+1|;\ x\in[-4;4] \)\( f(x)=x-|x|+1;\ x\in[-4;4] \)
1103072501 Level: BFunction \( f \) is given by the graph. Identify which of the following statements is true.\( f(x)=x-|x|;\ x\in[-4;4] \)\( f(x)=x+|x|;\ x\in[-4;4] \)\( f(x)=|x|-x;\ x\in[-4;4] \)\( f(x)=-x-|x|;\ x\in[-4;4] \)