Final answer:
The value of the function f(x) = x² − 3x + 5 at x = -12 is calculated by substituting -12 into the function, squaring it, multiplying by -3, and then adding 5, resulting in a value of 185.
Step-by-step explanation:
To find the value of the function f(x) = x2 − 3x + 5 at x = -12, we substitute -12 for x in the function:
f(-12) = (-12)2 − 3(-12) + 5
Now calculate each term:
- Square of -12: (-12)2 = 144
- Multiply -3 by -12: -3(-12) = 36
- Add up the terms: 144 + 36 + 5
So, f(-12) = 144 + 36 + 5 = 185.
The value of f(-12) is 185.