Math210 Calculus

13. Sketch the graph of any function f(x) that has all of the following properties: lim x - 3 , f (x) = 00 lim f (x) = -2 lim f ( x) =4 14. Without using technology, find the derivative of: /(x) = (tan(ezx))* 15. The function: y = = - 2x + 10 has only one point where the slope of the tangent line is equal to 4. Find the (x,y) coordinates of that point 16. Extra (a) Sketch any function and then appropriately and clearly mark the five quantities: fla), f (a t h), a, h, and flath)-f(a) h (note: assume h > 0) (b) Math 210 is focused on derivatives: what they are, how to find them, and their applications. Your good friend is taking PreCalculus and has no idea what a derivative is. Give her a simple and clear explanation of what a derivative is. You may use an example to aid your explanation but an example without a sufficient explanation will not receive credit