2010009203 Level: BFunction f is given by the graph. Identify which of the following statements is true.f(x)=2|x|+x; x∈[−3;2]f(x)=2|x|−x; x∈[−3;2]f(x)=−x−2|x|; x∈[−3;2]f(x)=x−2|x|; x∈[−3;2]
2010009204 Level: BFunction f is given by the graph. Identify which of the following statements is true.f(x)=|x−1|−|x|; x∈[−4;2]f(x)=|x+1|−|x|; x∈[−4;2]f(x)=|x+1|+|x|; x∈[−4;2]f(x)=|x|−|x−1|; x∈[−4;2]
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)
1003049204 Level: CLet f(x)=|x|. Identify which of the statements is false.∀a, b∈R:f(a+b)=f(a)+f(b)∀a, b∈R:f(a⋅b)=f(a)⋅f(b)∀a∈R, b∈R∖{0}:f(ab)=f(a)f(b)∀a∈R:f(a)=f(−a)
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;∞).The range of f is [1;∞).
1003102303 Level: CWhich of the following functions is decreasing on the interval (−∞;0)?m(x)=|x−|x−1||h(x)=|x+|x−1||g(x)=|x−|x+1||f(x)=|x+|x+1||
2000018601 Level: CWhich of the following functions is increasing on the interval [−1;∞)?f(x)=2||x+3|−2|g(x)=2||x−3|−2|h(x)=−2||x+3|−2|k(x)=2||x−3|+2|