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Find the average rate of change for f(x) = 1 ~ 3x? between X=2 and x-2+h...

Question

Find the average rate of change for f(x) = 1 ~ 3x? between X=2 and x-2+h

Find the average rate of change for f(x) = 1 ~ 3x? between X=2 and x-2+h



Answers

Find the average rate of change of $f(x)=2 x^{2}$ between $x=1$ and $x=3$

For every trade of change have kind ahead, brought in our formula. And now we just evaluate that for three minus F of one over three minus one. This will give us F of three is two times three, which is six minus f of one is two times one, which is to three minus. One is to this gives us six months to is four and four, divided by two is to as an average rate of change.

I've gone ahead and brought in our average rate of change formula. So the playing we will get f of three minus stuff of one divided by green minus one. Now F of three is one minus to your times three minus f of one is one minus two times one and remind us one is to All right. So one minus two times three is six or one minus six is negative. Five minus one minus two is a native one which will give us the negative for over two or simply negative, too.

All right, 56 is asking us for the average rate of change of the function F of X equals x squared plus four x minus three from negative to to one. I was asking us to find the slope. Yeah. So we want to find the slope, which is why to minus Y one over X two minus x one. If you plug in one, we're going to have F of one minus F of negative two. So F of one here, it is one plus four minus three, which is to F of -2 is 4 -8 -3. 4 -11 is -7. So we get 9/3, which is three.

Even F off X is equal toe. Look off X minus two and export from 3 to 5. Now the every great options will be worth fo five minus F off already were by five minus three F 45 will be equal to look off I minus toe and f off Trivial before to look off three u minus two divided by so this candidate in at low three minus one, divided by the value off Logan is equal to zero. So we get this is equal to look three divided by two block three, the Venlo bloated is 1.986 divided by toe we get this is equal to 0.5493 This is the average rate, often off f X


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