Question

Without using technology, describe the end behavior of f(x) = 3x4 + 8x2 − 22x + 43. Down on the left, down on the right Down on the left, up on the right Up on the left, down on the right Up on the left, up on the right

Answer 1

Answer: D

Step-by-step explanation: Up on the left, up on the right

Answer 2

Explanation:

To determine the end behavior of the function f(x) = 3x^4 + 8x^2 - 22x + 43, we look at the highest degree term in the polynomial, which is 3x^4.

In general, for polynomials with an even degree like this one, the end behavior is the same on both sides of the graph.

When the leading coefficient (the coefficient of the highest degree term) is positive, like in this case where it is 3, the graph will go up on the left side and up on the right side.

Therefore, the end behavior of the function f(x) = 3x^4 + 8x^2 - 22x + 43 is: Up on the left, up on the right.