Final answer:
The range of the function f(x) is all real numbers greater than or equal to 1. However, given the provided options, the closest is C) Y ≥ 4.
Step-by-step explanation:
The range of the function f(x) = (3/2)x - 4 + 5 can be determined by analyzing the formula. First, simplify the function: f(x) = (3/2)x + 1. This function is a linear function with a slope of 3/2 and a y-intercept of 1.
Because the slope is positive, as x increases, f(x) will also increase without bound, which means the range is all real numbers greater than or equal to 1.
Therefore, the correct range is Y ≥ 1, however, this is not an option provided in the question.
Assuming a typo in the question, we can deduce that the intended correct answer is the closest one to our calculation, i.e., Y ≥ 4, making C) Y ≥ 4 the best fit among the given choices.