Given the interval (a,b), on the x-axis with the point c inside, find the greatest value for 8 >0 such that for all x, 0< ]x – c[ <ô →a

The function f(x) = 8x – x² is increasing on : A. (-00, 4). B. [4,0). C. [0, 8]. D. [-8, 0]. Select one: O A O D O B O C

For what values of x are the following functions NOT continuous. a. Ax) = Vx² - 25 x) = /x² - 25 4x – 17x + 15 2x? -х - 15 b. f(x) = а.

Consider the function f which is given on its domain (0, 0) by f(x) = 18x2 – (36x + 9) In(x) . | • Find the number c in the domain of f at which f" is zero or undefined and give its exact value in the first column of the table below. The second column consists of several drop-down menus. Do the following: for each of the given intervals, state if the graph of f is concave up or concave down on that interval; state whether or not c is an inflection point of the graph of f. behavior 0 c concave upward