Prove that the function given by is increasing in R.

Open in App

Solution

We have,

For any x∈R, (x − 1)² > 0.

Thus, is always positive in R.

Hence, the given function (f) is increasing in R.

Suggest Corrections

Similar questions

f (x) = x^{3} - 3 x^{2} + 3 x - 100

R

f (x) = x^{3} - 3 x^{2} + 3 x - 100

Show that the function given by f(x) = 3x + 17 is strictly increasing on R.

Show that the function f: R → R given by f(x) = x³ is injective.

Join BYJU'S Learning Program