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Suppose f: R R is defined by f(x)= x^2 1+x^2 . What is the range of the function?

Options

  1. A[0,1)
  2. B[0,1]
  3. C(0,1]
  4. D(0,1)

Correct answer

A. [0,1)

Step-by-step solution

f(x)= x^2 1+x^2 for x=0, f(0)=0 for x =1, f (1)= 1 2 =0.5 So, range is [0,1)

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