What is the nature of function of f(x)=7x-4 on R ?

Question

What is the nature of function of $f (x) = 7 x - 4$ on $R$ ?

Smart Achievers · Accepted Answer

(3)

Ans. Strictly increasing

Explanation:

Let $x_{1}$ and $x_{2}$ be any two numbers in $R$ .

Then, $x_{1} < x_{2}$

$\Rightarrow$ $7 x_{1} < 7 x_{2}$

$\Rightarrow$ $7 x_{1} - 4 < 7 x_{2} - 4$

As, $f (x_{1}) < f (x_{2}) .$ Thus, the function $f$ is strictly increasing on $R$ .

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