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Unformatted text preview: ‣ Log ‣ Exponential ‣ Trigometric ‣ Non-continuous functions ◦ Piece-wise ‣ Greatest Integer ‣ If f and g are continuous at x=c, then f[g(x)] or g[f(x)] will be continuous at ◦ c. Intermediate Value Theorem for Functions ◦ Given f(x) is continuous on [a,b] and f(a) =< k=< f(b), there exists for c ‣ there exists [a,b] such that f(c) = k It says that if a function is ‣ continuous, it must hit all of the y-values between a and b Redefine f(x) Example 1 Must hit a value between those two points-f(x) is a continuous function-f(x) has an infinite discontinuity at x=0 F(x) is not continuous on...
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