Use the key features of the polynomial f(x) = −4x4 + 4x3 + 9x2 − 12x + 10 to describe its end behavior.
The left side continues up, and the right side continues up.
The left side continues down, and the right side continues down.
The left side continues up, and the right side continues down.
The left side continues down, and the right side continues up.

Step-by-step explanation:

As  

x

→

∞

,

f

(

x

)

→

∞

As  

x

→

−

∞

,

f

(

x

)

→

∞

Explanation:

When working with end behavior, look at the leading term (term with highest exponent) and neglect all other terms, in this case  

x

4

i s the leading term.

If  

x

is a very large positive number (

∞

),  

x

4

will be a very large positive number (

∞

) also, and if  

x

is a very-large-in-magnitude negative number (

−

∞

),  

x

4

will be a large "positive" number (

∞

) because of the even power "

4

".

answer: the answer is ann