Final answer:
The range of the function f(x) = –2x + 1, when evaluated over the domain { –2, 0, 1, 5}, is { 5, 1, –1, –9}.
Step-by-step explanation:
To evaluate the function f(x) = –2x + 1 over the domain {–2, 0, 1, 5}, we substitute each value of x from the domain into the function and calculate the corresponding function values:
- For x = –2: f(–2) = –(2)(–2) + 1 = 4 + 1 = 5
- For x = 0: f(0) = –(2)(0) + 1 = 0 + 1 = 1
- For x = 1: f(1) = –(2)(1) + 1 = –2 + 1 = –1
- For x = 5: f(5) = –(2)(5) + 1 = –10 + 1 = –9
The calculated function values are {5, 1, –1, –9}, which constitute the range of the function when the domain is restricted to the values provided.