Answered

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find the difference quotient f(x h)-f(x)/h, where h≠0 from f(x)=-2x 1

Sagot :

A nice simple differentiation question!

We are given the function f(x) = -2x + 1.

We need to find the difference quotient:

f(x + h) - f(x) / h

First, let's evaluate f(x + h) and f(x):

f(x + h) = -2(x + h) + 1

= -2x - 2h + 1

f(x) = -2x + 1

Now, let's subtract f(x) from f(x + h):

f(x + h) - f(x) = (-2x - 2h + 1) - (-2x + 1)

= -2h

Now, divide by h:

(f(x + h) - f(x)) / h = (-2h) / h

= -2

So, the difference quotient is -2.

In other words, as x approaches x + h, the function f(x) changes by -2 units for every unit change in x.

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