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AP EAMCET20225 Jul 2022Evening ShiftMathematicsApplication of DerivativesActual

In the interval (7, ) f(x)=|x-5|+2|x-7| is

Options

  1. Aincreasing function
  2. Bdecreasing function
  3. Cconstant function
  4. DCannot be estimated

Correct answer

A. increasing function

Step-by-step solution

|x-5|= cases x-5, & x 5 -(x-5), & x 7f(x)=x-5+2(x-7)=3 x-5-14 aligned & f(x)=3 x-19 . & f^ (x)=3>0 aligned

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