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AP EAMCET2011MathematicsFunctions

If f: R R is defined by f(x)= [ x 5 ] for x R , where [y] denotes the greatest integer not exceeding y , then f(x):|x| < 71 is equal to

Options

  1. A-14,-13, , 0, 13,14
  2. B-14,-13, , 0, , 14,15
  3. C-15,-14, , 0, , 14,15
  4. D-15,-14, , 0, , 13,14

Correct answer

D. -15,-14, , 0, , 13,14

Step-by-step solution

Given, f: R R and f(x)= [ x 5 ] Also, aligned & f(x):|x| < 71 = f(x):-71 < x < 71 & = [ x 5 ]:-71 < x < 71 & [ -70-0.1 5 ], , [ -70 5 ], , [ 0 5 ], . & . , [ 65 5 ], , [ 70 5 ], , [ 70+0.999 h ] & = -15,-14, , 0, , 13,14 aligned

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