Question

The graph of the function f(x) = –(x + 3)(x – 1) is

What is true about the domain and range of the function?

The domain is all real numbers less than or equal to 4, and the range is all real numbers such that –3 ≤ x ≤ 1.
The domain is all real numbers such that –3 ≤ x ≤ 1, and the range is all real numbers less than or equal to 4.
The domain is all real numbers, and the range is all real numbers less than or equal to 4.
The domain is all real numbers less than or equal to 4, and the range is all real numbers.

Answer 1

c) The domain is all real numbers, and the range is all real numbers less than or equal to 4.

Explanation:

The easiest way to explore this is to simply graph it. The domain is the range of real numbers where this function is defined. For this function, it is defined over all real numbers. The range, in contrast, is where f(x) is observed for all values x. In this case, f(x) only exists for all real numbers less than or equal to 4.