Question

Roger saved money in a savings account for 6 months. He started the savings account with $62 and added $21 to the account each month. The total amount in his savings account for x months can be represented by the function f(x) = 21x + 62. What could be the range of the function for this situation?

Answer 1

The range of the function f(x) = 21x + 62 is all real numbers greater than or equal to 62.

Step-by-step explanation:

The range of the function f(x) = 21x + 62 can be determined by considering the minimum and maximum possible values of x.

Since x represents the number of months, it cannot be negative, so the minimum value of x is 0. Plugging this value into the function gives f(0) = 21(0) + 62 = 62.

The maximum value of x depends on the context of the problem. If there is no maximum limit, then x can take on any positive value. In this case, as x increases without bound, f(x) would also increase without bound, so there is no maximum value for the range.

Therefore, the range of the function f(x) = 21x + 62 is all real numbers greater than or equal to 62.