148k views
0 votes
Which statement describes the end behavior

Which statement describes the end behavior-example-1
User Asaelr
by
5.2k points

1 Answer

4 votes

Answer:

B, when x approaches negative infinity B(x) approaches positive infinity and when x approaches positive infinity B(x) approaches positive infinity.

Explanation:

B(x) is a quadratic function, so B(x) will have the same end behavior for both x-> +infinity and x-> -infinity. If we multiply (3-x)(6-x), the negative x's become a positive x^2 because it is a double negative. This means that the parabola opens upwards and the end behavior of B(x) approaches positive infinity in both directions.

Attached is a snip of a Desmos graph of the problem, just in case it helps to see it.

Which statement describes the end behavior-example-1
User Pickles
by
5.6k points