gx19x32 x2 State the end behavior of the functionSolutiongx

g(x)=(1/9)(x-3)^2 * (x+2)

State the end behavior of the function.

Solution

g(x)=(1/9)(x-3)^2 * (x+2)

the leading term in g(x) = (1/9)(x^2)(x) = x^3/9

The end behavior of a polynomial function is the behavior of the graph of f ( x ) as x approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.

So, as x--->-infinity g(x) ---> -infinity

as x----> +ve infinity g(x) ----> +infinity