For b=8 instead of 8, please use b = 6

Let b denote the last nonzero digit of your UCID number. e.g. if your UCID is 9876543280 then b = 8. 1. Let f be a function defined for all x, and continuous at all values of x except at -2 and 0. Suppose that bxz + x for all x > 10 we have that b - 2 x-+0 x - > 0+ (a) Does there always exist a value c on the interval (-3,0) such that f(c) = 0? Justify your answer. (b) Does there always exist a value c on the interval (-1, 1) such that f (c) = 0? Justify your answer. (c) Evaluate the following limit: lim f(x). Justify your answer. Hint: In (a) and (b) we want to know if there always exists such a value c. Finding a specific example where such a c exists does not show that something always happens. The only thing you are allowed to assume about f (x) is the information given in the prompt