Question

r(m) models the average monthly rainfall (in millimeters) in Tanzania for the years 1900-2009 as a function of the month number m.

Which number type is more appropriate for the domain of r?

a. Integer
b.Real number

Answer 1

Answer: The answer is

a. intergers

and Which number type is more appropriate for the domain of r?

is 1≤m≤12

Step-by-step explanation:

Answer 2

Option (a): Integer is the answer.

Given:

• The average monthly rainfall (in millimeters) in Tanzania for 1900-2009 as a function of the month number m is given in the attached image.
• r(m) is a function that models/defined the relationship between these two

To find:

The number type is more appropriate for the domain of function r.

Solution:

• The domain is the set that is the input of the function.  It is the input values that are used for a function. In this case, it is months(m).
• The codomain is the total number of values present in a set. They are thus the values that are expected to come out when the domain values are entered.
• The function in maths is a special relationship among the inputs (i.e. the domain) and their outputs (known as the codomain) where each input has exactly one output, and the output can be traced back to its input.

• So from the above definitions, for the function defined by r(m), the average months(m) will be our domain, and rainfall (in mm) will be our codomain.
• The months have integer values.

Hence, the integer number type is more appropriate for the domain of r. Option (a) is correct.

#SPJ2