Question

Linear functions are ALWAYS increasing or decreasing but never both

True or False

Answer 1

False.

For f(x) = mx + b:
- If m > 0, f is increasing.
- If m < 0, f is decreasing.
- If m = 0, f is constant (neither strictly increasing nor strictly decreasing).

(As a note, a constant function is both non‑increasing and non‑decreasing in the weak sense, but it is not strictly increasing or strictly decreasing.)