2000018601 Level: CWhich of the following functions is increasing on the interval \([ -1;\infty)\)?\( f(x)= 2\bigl| |x+3|-2\bigr|\)\( g(x)= 2\bigl| |x-3|-2\bigr|\)\( h(x)= -2\bigl| |x+3|-2\bigr|\)\( k(x)= 2\bigl| |x-3|+2\bigr|\)
2010009206 Level: AIdentify the values of real parameters \(a\) and \(b\) such that the graph of the function \[ f(x)= |x + a| + b \] corresponds to the picture.\(\ \ a = -1,\ b = 2\)\(\ \ a = 1,\ b = 2\)\(\ \ a = -1,\ b = -2\)\(\ \ a = 1,\ b = -2\)
2010009205 Level: AIdentify the value of a real parameter \(a\) such that the graph of the function \[ f(x) =3- |x - a| \] corresponds to the picture.\( -2 \)\( 2 \)\( 1\)\( 3 \)
2010009204 Level: BFunction \( f \) is given by the graph. Identify which of the following statements is true.\( f(x)=|x-1|-|x|;\ x\in [ -4;2 ] \)\( f(x)=|x+1|-|x|;\ x\in [ -4;2 ] \)\( f(x)=|x+1|+|x|;\ x\in [ -4;2 ] \)\( f(x)=|x|-|x-1|;\ x\in [ -4;2 ] \)
2010009203 Level: BFunction \( f \) is given by the graph. Identify which of the following statements is true.\( f(x)=2|x|+x;\ x\in [ -3;2 ] \)\( f(x)=2|x|-x;\ x\in [ -3;2 ] \)\( f(x)=-x-2|x|;\ x\in [ -3;2 ] \)\( f(x)=x-2|x|;\ x\in [ -3;2 ] \)
2010009202 Level: BWhich of the following functions is bounded?\( f(x)=|3+x|-|x| \)\( g(x)=|3+x|+|x| \)\( h(x)=|x-3|+|x| \)\( m(x)=3-|x| \)
2010009201 Level: CLet \( f(x)=|4-3|x| | +|2x|\). Identify which of the following function values is the biggest.\( f(3) \)\( f(-2) \)\( f(0) \)\( f(-1) \)