Question

If a function is defined by the formula y = 2x - 3 and its domain is given by the set {-2, 0, 7}, then which of the following sets gives the function's range?

Answer 1

The range of the function y = 2x - 3 for the domain {-2, 0, 7} is the set {-7, -3, 11}, achieved by substituting each domain value into the function to determine the corresponding outputs.

Step-by-step explanation:

The question concerns finding the range of a function given its domain and the formula that defines the function. To find the range of the function y = 2x - 3 when the domain is {-2, 0, 7}, we substitute each element of the domain into the formula to get the corresponding outputs, thus determining the range.

• For x = -2: y = 2(-2) - 3 = -4 - 3 = -7
• For x = 0: y = 2(0) - 3 = 0 - 3 = -3
• For x = 7: y = 2(7) - 3 = 14 - 3 = 11

Therefore, the range of the function y = 2x - 3 for the given domain {-2, 0, 7} is the set {-7, -3, 11}.