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Question
Multiple choice question :
f(x) = (x + 1)3 – (x – 1)3 represent a function which is
Options
linear
cubic
reciprocal
quadratic
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Solution
quadratic
Explanation;
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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