Describe the end behavior for the cubic function f (x)=-x^3-4

"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: