f(x) = (x + 1)3 – (x – 1)3 represents a function which is (1) li – InterviewSolution

1.

f(x) = (x + 1)3 – (x – 1)3 represents a function which is (1) linear (2) cubic (3) reciprocal (4) quadratic

Answer»

(4) quadratic

f(x) = (x + 1)³ – (x – 1)³

= x³ + 3x² + 3x + 1 - [x³ – 3x² + 3x – 1]

= x³ + 3x² + 3x + 1 – x³ + 3x² – 3x + 1 = 6x² + 2

It is a quadratic function.

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