Concluding, the end behavior is:
as x ⇒ ∞, f(x) ⇒ -∞
as x ⇒ -∞, f(x) ⇒ ∞
Here we have the function:
[tex]f(x) = -2*\sqrt[3]{x}[/tex]
When we evaluate the function in x that tends to positive infinity, the cubic root also tends to infinity, while because of the negative factor that multiplies it, we conclude that the end behavior is:
as x ⇒ ∞, f(x) ⇒ -∞
When x tends to negative infinity, the opposite happens:
as x ⇒ -∞, f(x) ⇒ ∞
Concluding, the end behavior is:
as x ⇒ ∞, f(x) ⇒ -∞
as x ⇒ -∞, f(x) ⇒ ∞
If you want to learn more about end behavior:
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