1.What are the domain and range of quantize(n, k)? 2. Repeat Exercise 2.228 for quantize(n, k). You should ensure that quantize(n, 5) yields the function from Figure 2.59. (Hint: first determine how...

1.What are the domain and range of quantize(n, k)?

2. Repeat Exercise 2.228 for quantize(n, k). You should ensure that quantize(n, 5) yields the function from Figure 2.59. (Hint: first determine how big a range of colors should be mapped to a particular quantum, rounding the size up. Then figure out which quantum the given input n corresponds to.)

Exercise 2.228

In Example 2.56, we introduced a function quantize for compressing a grayscale image to use only five different shades of gray. (See Figure 2.59 for a reminder of the function.) Using basic arithmetic notation (including ⌊ ⌋ and/or ⌈ ⌉ if appropriate), redefine quantize without using cases.

Figure 2.59

Figure 2.59: The function from Example 2.5