Question
What different values of $a$ function $f(x)=a x+b$ is decreasing when $x \in R$.
✓
Answer
$
\begin{aligned}
f(x) & =a x+b \\
\Rightarrow \quad f^{\prime}(x) & =a
\end{aligned}
$
$f$ is decreasing if $f^{\prime}(x)<0$
or$\quad$$
a<0
$
hence for $a<0$ function will decreasing
\begin{aligned}
f(x) & =a x+b \\
\Rightarrow \quad f^{\prime}(x) & =a
\end{aligned}
$
$f$ is decreasing if $f^{\prime}(x)<0$
or$\quad$$
a<0
$
hence for $a<0$ function will decreasing
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