# 2. Show that the function given by $f(x) = e^{2x}$ is increasing on R.

Answers (1)
G Gautam harsolia

Let $x_1 \ and \ x_2$ are two numbers in R
$x_1 \ < \ x_2 \Rightarrow 2x_1 < 2x_2 \Rightarrow e^{2x_1} < e^{2x_2} \Rightarrow f(x_1) < f(x_2)$
Hence, the function $f(x) = e^{2x}$ is  strictly increasing in R

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