Question

The range of the function given below is the set of all positive real numbers greater than 6.

F(x) = 6 + 2ˣ
A. True
B. False

Answer 1

The range of the function F(x) = 6 + 2ˣ is the set of all positive real numbers greater than 6.

Step-by-step explanation:

The range of a function is the set of all possible output values. In this case, the function is given by F(x) = 6 + 2ˣ. To find the range, we need to determine the set of all positive real numbers greater than 6 that can be obtained as output values of the function.

Since the function is of the form f(x) = a constant term + a number raised to a power, the function will always be increasing as x increases. Therefore, the range of the function F(x) = 6 + 2ˣ is the set of all positive real numbers greater than 6, which makes statement A, True, the correct answer.