How would I find the end response to f(x) = -2x^4 ?

Question

skullpatrol · Answer

What do you mean by "end response"?

skullpatrol · Answer

$$\Huge f(x) = -2x^4$$

anonymous · Answer

* end behavior, sorry

skullpatrol · Answer

So end behavior means how the function behaves at the ends where x is very large...

jdoe0001 · Answer

or where is "y" going towards, as "x" keeps on going and going

does "y" approach something or not?

anonymous · Answer

I believe so, i also made a table of values, i dont know if it will help, but..
x       -2        -1        0        1      2
f(x)  -32        -2        0      -2    -32

skullpatrol · Answer

Excellent idea :)

skullpatrol · Answer

Now just extend the table in both directions and observe what happens to f(x).

skullpatrol · Answer

x       -2        -1        0        1      2 ...
f(x)  -32        -2        0      -2    -32 ... end behavior

jdoe0001 · Answer

notice, as "x" gets a value, "y" is ever larger, twice as much the 4th power of "x" BUT negative, which is huge....
so if x = 1,000,000    y = a huge negative figure and so on

and so on,
so "y" is really going to $\boldsymbol{ - \infty}$

skullpatrol · Answer

Remember there are TWO ends: 
one for positive x values and one for negative x values.

anonymous · Answer

and what would the bottem go by?