Suppose there is a function called f(x). How do you find the slope, m, of the line that is tanget to function f(x) at x=2.

9. Find the slope of f(x) = (x+2)2 +5 at the point (3,-4)

The graph of a certain function f has slope 4x – 5 at the point (1, 2). Find the function f.

4. Let G represent the number of gallons of gasoline left in a car’s tank after it has been driven m miles from a filling station where it was last filled. The table below gives se- lected values of these quantities:   (a)  What kind of function is G = G(m)? How can you tell? (b) Determine the slope of the line that connects the first point (40, 11) to the last point (200, 3) from the table above. Interpret what this number tells us about how this car uses gasoline. (c)  Find the y-intercept of the line that connects the first point (40, 11) to the last point (200, 3) from the table above. Interpret what this number tells us about how this car uses gasoline.