Respuesta :

Answer:

As x —> infinity, g(x)—> infinity, and as x —> Negative infinity, g(x) —> Infinity

Step-by-step explanation:

Because

The end behavior of the graph will be as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.

What is a polynomial function?

A quadratic, cubic, quartic, and other functions involving only non-negative integer powers of x are examples of polynomial functions. We can define a polynomial's degree and provide a generic definition for it.

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

The given function is g(x)=5x ⁶+x⁵+9x³-12x-125 will have the end behavior of the graph as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.

Therefore, the end behavior of the graph will be as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.

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