Respuesta :

Answer:

Function A.

Step-by-step explanation:

In function A, as the x-values increase, the y-values triple.  This will continue to grow by a larger and larger amount for every increase in x.

In function B, as the x-values increase, the y-values go up by 100.  This is a constant rate of change; the function will never change by more than 100.

In function C, as the x-values increase, the y-values go up by 10.  This is a constant rate of change; the function will never change by more than 10.

In function D, as the x-values increase, the y-values go up by 2.  This is a constant rate of change; the function will never change by more than 2.

Since function A grows by larger and larger amounts every time, it will have the greatest values of y for very large values of x.

Function A grows by larger and larger amounts every time, it will have the greatest values of y for very large values of x.

Given that,

These tables of values represent continuous functions. For which function will the y values be the greatest for very large values of x.

We have to determine,

The function will the y values be the greatest for very large values of x.

According to the question,

  • The table A represents a linear function, for which each one unit increment in the "x" variable produces a three unit increment in the "y" variable.

This means that the growth rate of this function is 3.

In function A, as the x-values increase, the y-values triple.  This will continue to grow by a larger and larger amount for every increase in x.

  • In function B, as the x-values increase, the y-values go up by 100.  This is a constant rate of change; the function will never change by more than 100.

The table B also represents a linear function, for which each one unit increment in the x variable produces a 100 unit increment in the y variable. This means that the growth rate of this function is 100.

  • The table C also represents a linear function, for which each one unit increment in the x variable produces a 10 unit increment in the y variable. This means that the growth rate of this function is 10.

In function C, as the x-values increase, the y-values go up by 10.  This is a constant rate of change; the function will never change by more than 10.

  • The table D on the other hand does not represent a linear function, since the growth rate is variable and increases for greater values of x.

This means that as x grows larger, the growth rate of the function also grows larger, resulting in a much greater y value for very large x values if we compare it to a linear function, like the other options.

In function D, as the x-values increase, the y-values go up by 2. This is a constant rate of change; the function will never change by more than 2.

Hence, function A grows by larger and larger amounts every time, it will have the greatest values of y for very large values of x.

To know more about Functions click the link given below.

https://brainly.com/question/14583279

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