Final answer:
A table of values was created for the equation -3x + 4 = y using the domain provided. The domain is the set of all x-values for which the function is defined, while the range is the set of possible y-values obtained from the domain. The range obtained from the table is {10, 7, 4, 1, -2}.
Step-by-step explanation:
To answer the student's question, we first need to create a table of values for the equation -3x + 4 = y using the domain provided (-2, -1, 0, 1, 2).
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- For x = -2: y = -3(-2) + 4 = 6 + 4 = 10
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- For x = -1: y = -3(-1) + 4 = 3 + 4 = 7
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- For x = 0: y = -3(0) + 4 = 0 + 4 = 4
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- For x = 1: y = -3(1) + 4 = -3 + 4 = 1
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- For x = 2: y = -3(2) + 4 = -6 + 4 = -2
a. The domain of a function is the set of all possible input values (x-values) for which the function is defined. In this case, the domain given is {-2, -1, 0, 1, 2}.
b. The range of the function is the set of all possible output values (y-values). From the table we created, the range is {10, 7, 4, 1, -2}.