Mathematics

Mathematics

Problem

Let f(x)=kx+7f(x)=kx+7, where kk is a real constant. Which one of the following describes the monotonic behaviour of ff on R\mathbb R? a) ff is strictly increasing if k≥0k\ge 0 and strictly decreasing if k<0k<0. b) ff is strictly increasing if k<0k<0 and strictly decreasing if k>0k>0. c) ff is strictly increasing if k>0k>0 and strictly decreasing if k<0k<0. d) ff is strictly increasing for every k≠0k\neq 0.

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