Final answer:
The end behavior of function h(x) = -4x^2 + 11 is as x approaches negative infinity, h(x) approaches positive infinity, and as x approaches positive infinity, h(x) approaches negative infinity.
Step-by-step explanation:
The end behavior of a function describes what happens to the values of the function as x approaches positive or negative infinity. For the function h(x) = -4x^2 + 11, as x approaches negative infinity, the function approaches positive infinity. This is because as x becomes more and more negative, the negative term -4x^2 becomes larger and larger, resulting in a function value that approaches positive infinity. As x approaches positive infinity, the function h(x) approaches negative infinity. This is because as x becomes more and more positive, the term -4x^2 becomes larger and larger, resulting in a function value that approaches negative infinity.