Answer:
"Cubic functions are functions with a degree of 3 (hence cubic ), which is odd. Linear functions and functions with odd degrees have opposite end behaviors. The format of writing this is:
x
→
∞
, f
(
x
)
→
∞
x
→
−
∞
, f
(
x
)
→
−
∞
For example, for the picture below, as x goes to ∞
, the y value is also increasing to infinity. However, as x approaches -
∞
, the y value continues to decrease; to test the end behavior of the left, you must view the graph from right to left!!
graph{x^3 [-10, 10, -5, 5]}
Here is an example of a flipped cubic function, graph{-x^3 [-10, 10, -5, 5]}
Just as the parent function (
y
=
x
3
) has opposite end behaviors, so does this function, with a reflection over the y-axis.
The end behavior of this graph is:
x
→
∞
, f
(
x
)
→
−
∞x
→
−
∞
, f
(
x
)
→
∞
Even linear functions go in opposite directions, which makes sense considering their degree is an odd number: 1."
-website
Step-by-step explanation:
