Answer:
To evaluate and simplify the difference quotient for the function f(x) = -2x + 2, we can use the formula:
[f(x + h) - f(x)] / h
Let's substitute the values into the formula:
[f(x + h) - f(x)] / h = [-2(x + h) + 2 - (-2x + 2)] / h
Simplifying further:
[-2x - 2h + 2 + 2x - 2] / h = (-2h) / h
Finally, simplifying the expression:
-2h / h = -2
Therefore, the simplified difference quotient for f(x) = -2x + 2 is -2.