Answer :

The function that has a range of y < 3 is y = -(2)x + 3. Explanation: 1. The range of a function refers to the set of all possible output values (y-values) that the function can produce. 2. In the function y = -(2)x + 3, the coefficient of x is -2, which means the function is decreasing. This function has a negative slope. 3. The function y = -(2)x + 3 has an intercept of 3 on the y-axis, which means that the highest possible output value (y) this function can have is 3. 4. Since the function is decreasing with a maximum y-value of 3, any y-value less than 3 is achievable within the range of this function. 5. Therefore, the function y = -(2)x + 3 has a range where y is less than 3. In contrast, the other functions listed do not have a range of y < 3 as they either have a different range or a positive slope that does not meet the condition specified in the question.