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 ?

1 Answer
Jim G.
Jan 28, 2018

#"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]}

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