Final Answer:
For f(x) = 5(2 - x), the evaluation yields a. f(7) = -25 and b. f(-6) = 40.
Step-by-step explanation:
When examining the function f(x) = 5(2 - x) at specific points, the evaluations for f(7) and f(-6) involve substituting the given x-values into the function to obtain the corresponding y-values. The outcomes, f(7) = -25 and f(-6) = 40, provide insights into the behavior of the function at these particular inputs.
a. Evaluate f(7):
To find f(7), substitute x = 7 into the function:
f(7) = 5(2 - 7)
f(7) = 5(-5)
f(7) = -25
b. Evaluate f(-6):
To find f(-6), substitute x = -6 into the function:
f(-6) = 5(2 - (-6))
f(-6) = 5(8)
f(-6) = 40
Therefore, for f(x) = 5(2 - x), f(7) = -25 and f(-6) = 40.