Write the set of values of a for which the function f(x) = ax + b… - Vidyadip

Question

Write the set of values of a for which the function f(x) = ax + b is decreasing for all $\text{x}\in\text{R}.$

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Answer

f(x) = ax + b
f'(x) = a
For f(x) to be decreasing, we must have
f'(x) < 0
⇒ a < 0
$\Rightarrow\text{a}\in(-\infty,0)$

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