How do you find the end behavior of #f(x) = -2(x-1)(x+3)^3#?

1 Answer
Aug 2, 2018

Answer:

#"see explanation"#

Explanation:

#"To determine the end behaviour we only require to"#
#"consider the term of highest degree, that is the leading"#
#"term in standard form"#

#"multiply the terms of highest degree from each factor"#

#-2(x)(x^3)=-2x^4#

#"the leading term of highest degree is "-2x^4#
#"which is of even degree with negative coefficient"#

#•color(white)(x)lim_(xto+-oo)=-oo#
graph{-2(x-1)(x+3)^3 [-80, 80, -40, 40]}