Question

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 6
This is a cubic function. The end behavior of the graph will decrease to the right and increase to the left.

Answer 1

f(x1)>f(x2)--->
-x1^3+2>-x2^3+2
-x1^3>-x2^3
multiply by -1
x1^3<x2^3
x1<x2
so f(x) is decreasing function over R