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Application of Derivatives — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSApplication of Derivatives1 Mark
Question
Show that the function given by $f(x) = 7x – 3$ is increasing on $R.$
✓

Answer

Let $x_1$ and $x_2$ be any two numbers in $R.$ Then
$x_1 < x_2$
$\Rightarrow 7x_1 < 7x_2$
$\Rightarrow 7x_1 – 3 < 7x_2 – 3$
​$\Rightarrow f(x_1) < f(x_2)$
Thus, $f$ is strictly increasing on $R.$

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