Question

5 4 3 2 1- ver --5--4-3-2-1₁ 1 G&W N 2 4 5 X A What is the range of the function f(x) = x - 3? all real numbers all real numbers less than or equal to 3 all real numbers less than or equal to -3 all real numbers greater than or equal to -3​

Answer 1

The range of the function f(x) = x - 3 is all real numbers because for every real number x, subtracting 3 will yield another real number without any restrictions.

Step-by-step explanation:

The question asks what is the range of the function f(x) = x - 3. To determine the range, consider what values f(x) can take as x varies over all real numbers. For any real number x, subtracting 3 will still yield a real number. Thus, the function can output any real number.

For example, if x is 3, then f(3) = 3 - 3 = 0. If x is 4, f(4) = 4 - 3 = 1, and so on. This shows that as x increases, f(x) also increases without bound, and as x decreases, f(x) decreases without bound as well. Therefore, the range of f(x) is all real numbers.