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

Answer:

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

$(b)$

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

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

Step-by-step 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:

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

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