Without using the derivative show that the function f(x) = 7x - 3 is strictly increasing function on R.

Show that is neither increasing nor decreasing on R.

Without using the derivative, show that the function f(x) = | x | is

A. strictly increasing in (0, ∞)

B. strictly decreasing in (-∞, 0).

Find the intervals in which the following functions are increasing or decreasing.

f(x) = 10 – 6x – 2x²

Find the intervals in which the following functions are increasing or decreasing.

f(x) = x² + 2x – 5