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AP EAMCET202319 May 2023Morning ShiftMathematicsFunctionsActual

The range of the function f(x)= array cc 4 x-1, & x>3 x^2-2, & -2 x 3 3 x+4, & x < -2 array .

Options

  1. A(- , )
  2. BR -(-3,3)
  3. CR -(7,11]
  4. D(7,11]

Correct answer

C. R -(7,11]

Step-by-step solution

When x>3,11 < 4 x-1 < when -2 x 3,-2 x^2-2 7 when x < -2,- < (3 x+9) < -2 Clearly, the given function f(x) have no presence over the interval (7,11] and other than (7,11], f(x) have values corresponding the values of x . Therefore range (f(x))=R-(7,11] .

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