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.