Question

6) Use the leading coefficient and degree of the polynomial function todetermine the end behavior of the graph Select all that apply*f(x) = x? - 7x2 + 10xx—+o, f(x) — +0x— too, f(x) —-OptionOption 2

Answer 1

options 1 and 4

Step-by-step explanation

when you have a polynomial function :

`f(x)=a_xx^n+a_(x-1)x^(n-1)+a_(x-2)x^(n-2)++++`

When n is even and an is positive the behavior is Graph rises to the left and right

and

When n is odd and an is positive the behavior is :Graph falls to the left and rises to the right

then

`f(x)=x^3-7x^2+10x`

n=3=odds, then

Graph falls to the left and rises to the right

in other words, if x becomes bigger f(x) becomes bigger too,

so the answer are

options 1 and 4