Consider the tables created using an initial investment of $1,000 and quarterly compounding of interest.

table a represents the function that models the total amount of one investment, a(x), based on the annual interest rate, x, as a percent.

table b represents the function that models the interest rate, r(d), as a percent, based on the total amount at the end of the investment, d.

use the values in the table to verify the relationship between the functions representing the investments. which conclusion can be made?

the functions are inverses because the domain of table a is the same as the range of table b.
the functions are inverses because the range of table a is different from the domain of table b.
the functions are not inverses because for each ordered pair (x, y) for one function, there is no corresponding ordered pair (x, y) for the other function.
the functions are not inverses because for each ordered pair (x, y) for one function, there is no corresponding ordered pair (y, x) for the other function.

Option fourth "The functions are not inverses because, for each ordered pair (x, y) for one function, there is no corresponding ordered pair (y, x) for the other function." is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have two tables shown in the picture.

Table (A) have values of x and a(x)

Table (B) have values of d and r(d)

As we know if the function has an inverse of it and (x, y) satisfies the function then (y, x) must satisfy the inverse of a function.

Thus, the option fourth "The functions are not inverses because, for each ordered pair (x, y) for one function, there is no corresponding ordered pair (y, x) for the other function." is correct.

Learn more about the function here:

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