Question

Which graph has the same end behavior as the graph of f(x) = –3x3 – x2 + 1?

Answer 1

graph D on e2020

Answer 2

Answer: According to the conditions, Fourth option is the correct graph which has the same end behave as the graph of f(x)=-3x³-x²+1.

Explanation:

Since we have given that

f(x)=-3x³-x²+1

Since it has highest power i.e. 3 which is an odd number.

And if the degree of the polynomial is odd, and the leading coefficient is negative.

So, the end behavior is :

f(x) → +∞, as x → -∞

and f(x) → -∞ , as x → +∞

So, According to the conditions, Fourth option is the correct graph which has the same end behave as the graph of f(x)=-3x³-x²+1.