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Write the set of values of a for which the function f(x) = ax + b is decreasing for all x ∈ R. |
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Answer» f(x) = ax + b f’(x) = a + 0 f’(x) = a For, f(x) to be decreasing, it must have f’(x) < 0 \(\therefore\) a < 0 \(\therefore\) a ∈ (-∞, 0) Hence the required set of values is a ∈ (-∞, 0). |
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