Question

The domain of a function, f(x), is all numbers equal to or greater than 1 but less than 3. What is the correct notation for expressing this domain?

a) (1,3)
b) [1, 3]
c) (-1,3)
d) (1, 3]
e) none

Answer 1

The domain of a function f(x) that includes all numbers equal to or greater than 1 but less than 3 is correctly expressed using interval notation as [1, 3).

Step-by-step explanation:

The domain of a function refers to the set of all possible input values (x-values) for which the function is defined. Given that the domain of a function, f(x), is all numbers equal to or greater than 1 but less than 3, we use interval notation to express this domain. Since 1 is included, we use a closed bracket [ to indicate that the value 1 is part of the domain. Since the value 3 is not included in the domain, we use an open parenthesis ( to exclude the value 3. Therefore, the correct notation for this domain is [1, 3].