Elementary Calculus Homework

1.

Explain what is meant by the equation Iim x) : 7. x _,. 8 f(x) = 7 for all values of x. ' If IX1 8| 1_ x> 1+ For the function g whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) -4- -2- N 4 (a) lim g(t) t - 0 (b ) lim g(t) t - 0+ (c) tog (t) (d) lim g(t) t - 2 (e) lim g(t) t - 2 (f) lim g(t) (g) g(2) (h) lim g(t)A patient receives a ISO-mg injection ofa drug every 4 hours. The graph shows the amount t) of the drug in the bloodstream after t hours. Sketch the graph of an example of a function f that satisfies all of the given conditions. lim f(x) = 2, lim f(x) = -1, f(0) = 1 X - 0- x - 0+ 19 X - 19 4 4 24 19 19 X X - 1