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For the function f(x) = - 2x + 2 evaluate and simplify the difference quotient

User Reza S
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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.

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