4. Find all values of c that make f continuous on R. 5. Does the inequality エート 2 f(x) = { -3x+c if x <1 -15 X-C if x 1 4x+9≤ f(x) ≤ x² + 8x + 13 provide sufficient information to determine lim, f(x)? If so, find the limit. What theorem do you need to use here? 6. (a) Let f be a continuous function on [-9,-3] where f(-9) = 11 and f(-3)=2. Does a value -9<c<-3 exist such that f(c) 9? Justify your answer. - (b) Use IVT to show that the equation √√+ √√x+2-3 has a root in the interval (0, 2). 7. (a) Let f(x) derivative. 1 4- x2 Find the derivative of f at z using the limit definition of the (b) What is the slope of graph of ƒ at x=1? 8. (a) True or False: If f'(5) exists, then lim,-5 f(x) = f(5). Justify your answer. f(x)-8 = →1 10, what is lim f(x)? If f is continuous at x= 1, What is f(1)? →1 (b) If lim