Please show your work for the following quesetions

Use the following graph of y = f(x) to sketch the graph y = f (x). In your solution, please highlight the points corresponding to (-1, 1.25), (0, 1), (1, 1.25). (-1 1.25 2- 1, 1.25 (0, 1) -2 0 2Notice that if we apply the definition of the dervative f'(a) = lim f(a + h) - f(a) to f(x) = e* and a = 0 we h-0 h get the limit: poth _ 0 eh - 1 lim lim h-0 h h-0 h We say that these limits represent the derivative of y = ex at a = 0. In this question, you will apply this process in reverse. Given a representation of a derivative, you'll determine the function f(x) and a. Determine the function f(x) and the value a for the following limit: [2(3 + h) - (3+ h)]- 15 lim h-0 h