Question

The function y = 2x + 5 is defined for every y-value that is not less than 11. What is the domain of this function?

A) [3, +[infinity])
B) (-[infinity], 3]
C) (3, +[infinity])
D) (-[infinity], 3)

Answer 1

The domain of the function y = 2x + 5 is all real numbers greater than or equal to 11.

Step-by-step explanation:

The domain of a function is the set of all possible input values, or x-values. In this case, the function is defined for every y-value that is not less than 11. To find the domain, we need to determine the range of the function. Since the equation is in the form y = 2x + 5, we can see that as x increases, y increases. Therefore, there is no upper limit for the y-values. However, there is a lower limit, which is 11. So the domain of the function is all real numbers greater than or equal to 11. This can be written as [11, +∞).