Question

choose the end behavior of the graph of each polynomial function.
progress: 0/3
part 1 of 3
(a) ( f(x)=2x^6 - 3x^5 - 5x^3 - 4x^2 )

• falls to the left and rises to the right
• rises to the left and falls to the right
• rises to the left and rises to the right
• falls to the left and falls to the right

Explanation:

Step1: Identify degree and leading coefficient

The polynomial is $f(x)=2x^6 - 3x^5 - 5x^3 - 4x^2$. The highest power (degree) is $6$ (even), and the leading coefficient is $2$ (positive).

Step2: Apply end behavior rules

For even degree, both ends match. Positive leading coefficient means both ends rise.

Answer:

Rises to the left and rises to the right