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AP EAMCET2007MathematicsFunctions

If f: R R and is defined by f(x)= 1 2- 3 x for each x R , then the range of f is

Options

  1. A(1 / 3,1)
  2. B[1 / 3,1]
  3. C(1,2)
  4. D[1,2]

Correct answer

B. [1 / 3,1]

Step-by-step solution

array lrl Given, & f(x)= & 1 2- 3 x & & -1 3 x 1 & 1 - 3 x -1 & 2+1 & 2- 3 x 2-1 & 3 2- 3 x 1 & 1 3 1 2- 3 x 1 & Range of f is [ 1 3 , 1 ] array

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