Final answer:
The range of the function f(x) = -7x + 3 for the domain D = {-1, -4, 3, 10} is {10, 31, -18, -67}.
Step-by-step explanation:
The student is asking to find the range of a linear function f(x) = -7x + 3 given the domain D = {-1, -4, 3, 10}. The range is found by calculating the function's output for each element in the domain. Here's how the range is determined:
- f(-1) = -7(-1) + 3 = 7 + 3 = 10
- f(-4) = -7(-4) + 3 = 28 + 3 = 31
- f(3) = -7(3) + 3 = -21 + 3 = -18
- f(10) = -7(10) + 3 = -70 + 3 = -67
Therefore, the range of f(x) for the given domain is {10, 31, -18, -67}.