Answer Happy

Sketch the graph of a function f with domain R that satisfies all conditions below simultaneously. For this question only, you do not need to prove or explain your answer, as long as the graph is correct and very clear. We want only one single function f that satisfies all the conditions, all at once. Make your graph tidy and unambiguous. 1. lim f(x) = 2 7. lim f(x) = 5 I→-1 I→2+ 2. lim f(x) exists for every a € R, except a = -2,a = 2 and a = π. 8. lim [f(x)]² = 1 I-T 9. lim f(f(x)) = 3 3. lim f(x) = f(2) I→2+ x-0 10. lim f(x) = -1 4. lim f(f(x)) = 5 1-X I→0 11. lim f(2f() - 1) = 0 5. f(T) 1 I--2 6. lim f(x) + f(3) 12. lim f(f(x)) = −3 I-3 I--1 D+I Y x