Final answer:
The domain of the function f(x) = 2.69 + 0.48(x - 1) is all real numbers and the range is [2.69, infinity) because the function is a line with a positive slope starting at 2.69.
Step-by-step explanation:
The student is asking about the domain and range of the linear function f(x) = 2.69 + 0.48(x - 1). To find the domain and range, we consider what values x can take and what values f(x) can result in.
Since there are no restrictions on x in the formula, and it does not contain any denominators or square roots that could introduce restrictions, the domain is all real numbers.
The function is a straight line with a positive slope, which means as x increases, f(x) also increases without bound. The y-intercept of this function is at f(x) when x equals 1, which gives us f(1) = 2.69. Because the slope is positive, f(x) will increase as x increases, and thus the range starts at 2.69 and goes to infinity. Hence, the correct answer is Domain: All real numbers; Range: [2.69, infinity).