The function with the same end behavior of f(x) is the last option:
[tex]g(x) = (-\frac{1}{3} )*x[/tex]
Which function has the same end behavior of f(x)?
By looking at the graph, we can see that the end behavior of f(x) is:
as x → ∞; f(x) → -∞
as x → -∞; f(x) → ∞
Then we just want a function that depends linearly with x and that has a negative coefficient.
The correct option is the last one:
[tex]g(x) = (-\frac{1}{3} )*x[/tex]
Where clearly, when x tends to infinity the function tends to negative infinity, and when x tends to negative infinity, the function tends to infinity.
If you want to learn more about end behavior:
https://brainly.com/question/1365136
#SPJ1
