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Calculus/graphing and functions

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Expert: - 9/30/2008


Question
Please help!!

Create function below that is true for all of the following
(I'm not sure how to show less than or equal so I did <=
Domain:  -2<=x<=9
Range:  -5<=y<=7

f(2)=3
f(-1)=4

I have never seen f with a number after it and I'm not quite sure what they are looking for.

Answer
The value f(x0) is another way of saying the value of y when x is x0.

Given this, we want y to be 3 when x is 2 and y to be 4 when x is -1.
What this says is that (x1,y1)=(2,3) and (x2,y2)=(-1,4).

There is a form of the lines like this:

y-y1 = m(x-x1) where m=(y2-y1)/(x2-x1).

Take (x1,y1) to be (2,3) and (x2,y2) to be (-1,4).

Thanks for the question.  Right back for if more explanation is desired.  

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