find the end behavior
f(x)=(x-3)(1-x)(3x-5)
Lim f(x) lim f(x)
x-- infinity x-- negative infinity

Question

find the end behavior
 f(x)=(x-3)(1-x)(3x-5)
Lim f(x)            lim f(x)
x--> infinity    x--> negative infinity

anonymous · Answer

After expanding
$$
f(x)=(1-x) (x-3) (3 x-5)\
f(x)=-3 x^3+17 x^2-29 x+15\
$$

anonymous · Answer

A polynomial near Infinity behaves like its term of highest degree, meaning like
$$- 3 x^3
$$
Hence it approaches -Infinity when x approaches Infinity  and 
 it approaches xxx  when x approaches -Infinity. Can you find what  xxx is?

anonymous · Answer

xxx?

anonymous · Answer

It means find the limit of f(x) when x approaches - Infinity

anonymous · Answer

ok so the answer would be infinity?

anonymous · Answer

Yes when x approaches - Infinty

anonymous · Answer

ok how did you find that?
 im really confused

anonymous · Answer

How much is
$$
- 4 x^3
$$
When x =-10,  x=-100, x = - 1000?

anonymous · Answer

ok thanks

anonymous · Answer

Did you understand what is going on?