1. Let f (x) = x 2 – 4x + 5 for x ∈ [0, 3]. (a) Find where f is strictly increasing and where it is strictly decreasing. (b) Find the maximum and minimum of f on [0, 3]. 2. Repeat Exercise 3 for f (x)...

1. Let f (x) = x²
– 4x + 5 for x ∈ [0, 3].

(a) Find where f is strictly increasing and where it is strictly decreasing.

(b) Find the maximum and minimum of f on [0, 3].

2. Repeat Exercise 3 for f (x) = | x²
– 1 | on [0, 2].

Exercise 3

Let f (x) = x²
– 4x + 5 for x ∈ [0, 3].

(a) Find where f is strictly increasing and where it is strictly decreasing.

(b) Find the maximum and minimum of f on [0, 3].