Graphs of Linear Functions\\ with Absolute Values Submitted by robert.marik on Sat, 11/24/2018 - 12:16
1103162909 Level: BWith aid of the graph of a function \( f \) find all \( x\), so that \( |f(x)|=3 \).\( x\in\{-5;1\} \)\(x\in \{1\} \)\(x\in \{-2\} \)\( x\in\{-5;5\} \)
1103162908 Level: BWith aid of the given graph of a function \( f \), find all \( x \) so that \( |f(x)-2|=1 \).\( x\in\{-4;-2\} \)\( x\in\{-4;2\} \)\( x\in\{-2;2\} \)\( x\in\{-3\} \)
1003187206 Level: CHow many \( x \)-intercepts does the graph of \( f(x)=\left|-|2-x|- 2\right| \) have?\( 0 \)\( 2 \)\( 1 \)\( 4 \)
1003187205 Level: CLet \( f(x)=\left|3|2x-1|-9\right| \). The number of argument values \( x \) for which \( f(x)=2 \) is:\( 4 \)\( 2 \)\( 3 \)\( 1 \)
1003030905 Level: BLet \( f(x)=|x-1|-2|x| \). Identify which of the following statements is true.The function \( f \) is bounded above and is not bounded below.The function \( f \) is bounded below and is not bounded above.The function \( f \) is bounded.The function \( f \) is neither bounded above nor bounded below.
1003102303 Level: CWhich of the following functions is decreasing on the interval \( (-\infty;0) \)?\( m(x)=\left|x-|x-1|\right| \)\( h(x)=\left| x+|x-1|\right| \)\( g(x)=\left|x-|x+1|\right| \)\( f(x)=\left|x+|x+1|\right| \)
1003102302 Level: CLet \( f(x)=|1-|x| | \). Which of the following statements is true?Function \( f \) has minimum at \( x=-1 \).Function \( f \) is bounded.Function \( f \) is increasing on the interval \( (0;\infty) \).The range of \( f \) is \( [1;\infty) \).