Question

Evaluate f(x) = 3 + 1 over the domain (1, 2, 3, 4). What is the range of f(x)?

A) 4, 5, 6, 7
B) 1, 2, 3, 4
C) 3, 4, 5, 6
D) 2, 3, 4, 5

Answer 1

f(x) = 3 + 1 simplifies to f(x) = 4, which is a constant function. The range of f(x) for the domain (1, 2, 3, 4) is simply {4}, indicating that none of the given options are correct.

Step-by-step explanation:

We are asked to evaluate f(x) = 3 + 1 over the domain (1, 2, 3, 4) and determine the range of f(x). Since there are no variables in the expression for f(x), it simplifies to f(x) = 4 because 3 + 1 equals 4. This value does not change regardless of the input x, indicating that f(x) is a constant function.

By evaluating f(x) for each value in the domain:

• f(1) = 4
• f(2) = 4
• f(3) = 4
• f(4) = 4

Since f(x) is the same for all values in the domain, the range is simply {4}. So, the correct answer to the student's question is none of the provided options A, B, C, or D. Instead, the range is a single value: 4.