# Exercises from Seven Sketches in Compositionality: An Invitation to Applied Category

## Exercise 1.1

- (a) \( f(x) = 2x \) is order preserving, \( f(x) = x^2 \) is not.
- (b) \( f(x) = \frac{1}{x} \) is metric-preserving, \( f(x) = -x \) is not.
- (c) \( f(x) = x + 1 \) is addition-preserving, \( f(x) = |x| \) is not.