Average Rate of Change

[Kman1]

So I'm supposed to be using average rate of change to solve problems. I'm given this formula:

F(x)-F(c)/x-c

Then it would say that F(x)= something, such as 5x. My question, How do I do this? What do I substitute for C? I couldn't find this in my book. All help is greatly appreciated.

 

[tkhunny]

1) Try to remember the Order of Operations. This will require greater care in your presentation.

You mean [F(x)-F(c)]/[x-c]

What you have written is this: F(x) - (F(c)/x) - c

2) Substitute into the given function.

It is a little odd to have 'x' and 'c'. Check carefully. I would expect 'c' to be defined in terms of 'x'. Usually "x + h" or something like that.

 

[lookagain]

You mean [F(x)-F(x)]/[x-c]\(\displaystyle **\)

What you have written is this: F(x) - (F(c)/x) - c

2) Substitute into the given function.

It is a little odd to have 'x' and 'c'. Check carefully. I would expect 'c' to be defined in terms of 'x'. Usually "x + h" or something like that.

\(\displaystyle ** \ \ Note: \ \ This \ is \ a \ typo.\)

"[F(x) - F(c)]/[x - c]" was actually intended.

 

[tkhunny]

Repaired above. I did that twice, but fixed only one before submitting. Thanks for the correction.