Question

As x becomes very large, which of the following functions will have the greatest value? a. y = 100 + 256 b. y = 100 + 25.72 c. y = 100(0.25) d. y = 100(1.25)​

Answer 1

For large values of x, all presented functions are constant functions and hence their values are independent of x. After comparing their constant values, the function y = 100 + 256 has the greatest value, which is 356.

Thus the corret opction is:a.b.c.d

Step-by-step explanation:

As x becomes very large, the function with the greatest value depends on the behavior of the function as x increases. The options presented are:

• y = 100 + 256 (a constant function)
• y = 100 + 25.72 (another constant function)
• y = 100(0.25) (yet another constant function)
• y = 100(1.25) (this is also a constant function)

For large values of x, the value of y in each of these functions does not depend on x since they are all constant functions. Therefore, we need to compare their constant values. The greatest value among the listed options is:

• Option a: 100 + 256 = 356
• Option b: 100 + 25.72 = 125.72
• Option c: 100(0.25) = 25
• Option d: 100(1.25) = 125
  

The function with the greatest value is therefore Option a, with a value of 356.