Find the range of the following functions.f(x) = x/9+x2 – InterviewSolution

InterviewSolution

1.

Find the range of the following functions.f(x) = x/9+x2

Answer»

f(x) = x/9+x² = y (say)

∴ x² y – x + 9y = 0

For real x, Discriminant > 0

∴ 1 – 4(y)(9y) ≥ 0

∴ y² ≤ 1/36

∴ -1/6 ≤ y ≤ 1/6

∴ Range of f = [-1/6, 1/6]

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