Question

PLEASE HELPP!!! CHOOSE THE END BEHAVIOR OF THE GRAPH OF EACH POLYNOMIAL FUNCTION

Answer 1

The end behavior of the polynomial functions is determined by their leading terms, with
`f(x) = 6x^6 - 5x^5 + 7x^3 - 8x^2`
`f(x) = -4x^3 + 9x^2 - 8x + 1` rising to the right, and f(x) = 4x(x - 4)(x + 2) falling to the left and rising to the right.

The end behavior of a polynomial function is determined by the leading term, which is the term with the highest exponent. Let's analyze each polynomial function:

`f(x) = 6x^6 - 5x^5 + 7x^3 - 8x^2` The leading term is
`6x^6` . Since, the coefficient is positive and the exponent is even, the end behavior is 3. Rises to the left and rises to the right.

`f(x) = -4x^3 + 9x^2 - 8x + 1` The leading term is
`-4x^3` . Since the coefficient is negative and the exponent is odd, the end behavior is 2. Rises to the left and falls to the right.

f(x) = 4x(x - 4)(x + 2): The leading term when expanded is
`4x^3`. Since the coefficient is positive and the exponent is odd, the end behavior is 1. Falls to the left and rises to the right.