Final answer:
To describe the end behavior of the function f(x) = 2x² + 12x + 20, we need to examine the highest degree term, which is 2x². The leading coefficient is positive, which means the graph opens upward. As x approaches positive or negative infinity, the y-values of the graph approach positive infinity.
Step-by-step explanation:
To describe the end behavior and ss of the function f(x) = 2x² + 12x + 20, we need to examine the highest degree term, which is 2x². The leading coefficient is positive, which means the graph opens upward. This tells us that as x approaches positive or negative infinity, the y-values of the graph will also approach positive infinity.
Furthermore, since the degree of the function is even, the graph will have symmetry about the y-axis. So, as x approaches positive or negative infinity, the graph will approach positive infinity in the positive y-direction and negative infinity in the negative y-direction.