Show that the function given by f (x) = e 2x is strictly increasing on R.

Question

Philoid · Accepted Answer

Let x₁ and x₂ be any two numbers in R.

The, we have,

x₁ < x₂

⇒ 2x₁ < 2x₂

⇒ e^2x₁ < e^2x₂

⇒ f(x₁) < f(x₂)

Therefore, f is strictly increasing on R.