Final answer:
To find the range of the function f(x) = -12x - 10 for the domain {-3, -1, 0, 1, 3}, calculate f(x) for each x in the domain, getting the range {26, 2, -10, -22, -46}.
Step-by-step explanation:
The subject of the question is Mathematics, specifically pertaining to the concept of determining the range of a function for a given domain. We have a linear function f(x) = -12x - 10, and we want to find the range for the domain {-3, -1, 0, 1, 3}. To find the range, we simply substitute the domain values into the function and calculate the corresponding f(x) values.
- For x = -3: f(-3) = (-12)(-3) - 10 = 36 - 10 = 26
- For x = -1: f(-1) = (-12)(-1) - 10 = 12 - 10 = 2
- For x = 0: f(0) = (-12)(0) - 10 = -10
- For x = 1: f(1) = (-12)(1) - 10 = -12 - 10 = -22
- For x = 3: f(3) = (-12)(3) - 10 = -36 - 10 = -46
Therefore, the range of the function for the given domain is {26, 2, -10, -22, -46}.