Question

Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and provide the leading term. -3x5 + 9x4 + 5x3 + 3 ?

Answer 1

`"see explanation"`

Explanation:

`"this is a polynomial of degree 5"`

`"to determine the end behaviour we consider the term"`
`"of highest degree, that is the leading term in standard form"`

`" the leading term is "-3x^5`

`"which is of odd degree with negative coefficient"`

`• " as "xto-oo,yto+oo`

`• " as "xto+oo,yto-oo`
graph{-3x^5+9x^4+5x^3+3 [-10, 10, -5, 5]}