Question 25

The range of the function f(x) = x²/(1+x²) is

  1. A(−∞, +∞)
  2. B(0, ∞)
  3. C(−∞, 0]
  4. D[0, 1)
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Correct answer: (D) [0, 1)

Explanation

x²/(1+x²) is 0 at x = 0 and approaches 1 as x grows, but never reaches 1 because x² < 1 + x². So the range is [0, 1).

From DSSSB TGT Computer Science Practice Set 3

This is question 25 of DSSSB TGT Computer Science Practice Set 3. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.