Let x1 and x2 be any two numbers in R.The, we have,x1 < x2⇒ 2x1 < 2x2⇒ e2x1 < e2x2⇒ f(x1) < f(x2)Therefore, f is strictly increasing on R.

Q. 23.7( 67 Votes )

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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.

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