Question

Given f as described below.

f: {whole numbers} → {whole numbers}
Assign each whole number to its largest place value digit.
For example, f(4) = 4, f(14) = 4, and f(194) = 9.
a. What is the domain and range of f?

Answer 1

Domain of f:W

Range:W

Explanation:

We are given that a function

`f:W\rightarrow W`

Whole number set(W); It starts with zero .

W={0,1,2,3,4,....}

We are given that assign each whole number to its largest place value digit.

f(4)=4

f(124)=4

We have to find the domain and range of f.

Domain: It is defined as the set of values which are assign.

Range: It is defined as the set of value which are obtained corresponding to assign values.

So,

Domain of f:W

Range:W