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.
