Let h : IR -> IR be a differentiable function on IR. Let y E IR and suppose that h(r) * 0. (a) Your friend Nelufur is interested in the function f given by f(I) = |I - r/h(x). Help Nelufur by choosing all correct statements from the statements below. Function f is continuous everywhere. Function f is differentiable everywhere. Function f is not differentiable at one or more points. Function f is not continuous at one or more points. (b) In the following essay box, briefly explain to Nelufur the reasons behind your choices in part (a). Equation A- A- I BIUSXX Styles Fant Words: 0 (c) Another friend Geonwoo challenges you by replacing function f with the function F where F is given by F(x) = 1-run(z). Response to Geonwoo by choosing all correct statements for function F from the options bellow. Function F is differentiable everywhere. Function F is continuous everywhere. Function F is not differentiable at one or more points. Function F is not continuous at one or more points. (d) Give reasons behind your choices in part (c) in the essay box below