Q:

# Select the graph and the description of the end behavior of f(x) = x3 − 2. graph that decreases from left to right that passes through ordered pairs negative 2, 10; negative 1, 3; 0, 2; 1, 1; and 2, negative 6This is a cubic function. The end behavior of the graph will decrease to the right and increase to the left. graph that increases from left to right that passes through ordered pairs negative 2, negative 6; negative 1, 1; 0, 2; 1, 3; and 2, 10 This is a cubic function. The end behavior of the graph will increase to the right and decrease to the left.graph that increases from left to right that passes through ordered pairs negative 2, negative 10; negative 1, negative 3; 0, negative 2; 1, negative 1; and 2, 6 This is a cubic function. The end behavior of the graph will increase to the right and decrease to the left. graph that decreases from left to right that passes through ordered pairs negative 2, 6; negative 1, negative 1; 0, negative 2; 1, negative 3; and 2, negative 10 This is a cubic function. The end behavior of the graph will decrease to the right and increase to the left.

Accepted Solution

A:
A cubic with a positive x³ coefficient will have a generally "/" shape, increasing to the right. When your function is evaluated at x=-2, you get (-2)³-2 = -8-2 = -10. These facts are sufficient to help you select the 3rd choice as being appropriate.... graph that increases from left to right that passes through ordered pairs negative 2, negative 10; negative 1, negative 3; 0, negative 2; 1, negative 1; and 2, 6 This is a cubic function. The end behavior of the graph will increase to the right and decrease to the left.