Answer:
the range of the function y = -3/4x + 3/2 when the domain is {-6,-2,6} is {15/4, 3, -3/4}. The range is the set of all possible values of y for x in the given domain, which includes the values 15/4, 3, and -3/4.
Explanation:
The range of a function is the set of all possible values of the output (y) for a given set of inputs (x). To determine the range of the function y = -3/4x + 3/2 when the domain is {-6,-2,6}, you can plug in each value from the domain into the function and solve for y.
When x = -6, y = (-3/4)(-6) + 3/2 = 9/4 + 3/2 = 15/4.
When x = -2, y = (-3/4)(-2) + 3/2 = 3/2 + 3/2 = 3.
When x = 6, y = (-3/4)(6) + 3/2 = -9/4 + 3/2 = -3/4.