Question

DVD Video Rentals (Refer to Example 3.) The func-

tion V computes the percent share of disc DVD rentals
accounted for by various companies. This function is
defined by V(R) = 37, V(N) = 30, and V(S) = 17,
where R is Redbox, N is Netflix, and S is rental stores.
(Source: Business Insider.)
(a) Write V as a set of ordered pairs.
(b) Give the domain and range of V.
T

Answer 1

`(a)\ V = \{(N,30),(R,37),(S,17)\}`

`(b)`

`Domain = \{N,R,S\}`

`Range = \{37,30,17\}`

Explanation:

Given

`V(R) = 37,\ V(N) = 30,\ V(S) = 17`

Solving (a): Set of ordered pair

A function y = f(x) is represented as (x,y)

So, the ordered pair of V is:

`V = \{(R,37),(N,30),(S,17)\}`

Order the alphabets in increasing order

`V = \{(N,30),(R,37),(S,17)\}`

Solving (b): The domain and the range

In a function
`\{(x_1,y_1),...,(x_n,y_n)\}`

The domain and the range are represented as:

`Domain = \{x_1,x_2....x_n\}`

`Range = \{y_1,y_2....y_n\}`

So, we have:

`Domain = \{N,R,S\}`

`Range = \{37,30,17\}`