1. Let f be a function satisfying the following properties: continuous on R\{1} • f(0) = 0 and f(3) = 7 • lim f(r) = +∞ lim [f(x) – (x + 2)] = 0 lim [f(x) – (x + 2)] = 0 -00 Moreover, the table of signs for f' and f" is given below. (-∞0, 0) | 0 | (0, 1) f'(x) | f"(x)| (1,3) | 3 | (3, +∞) + + und. + und. + 1. Give equations of the two linear asymptotes of the graph of f.
1. Let f be a function satisfying the following properties: continuous on R\{1} • f(0) = 0 and f(3) = 7 • lim f(r) = +∞ lim [f(x) – (x + 2)] = 0 lim [f(x) – (x + 2)] = 0 -00 Moreover, the table of signs for f' and f" is given below. (-∞0, 0) | 0 | (0, 1) f'(x) | f"(x)| (1,3) | 3 | (3, +∞) + + und. + und. + 1. Give equations of the two linear asymptotes of the graph of f.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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