Given the function
P ( x ) = ( x − 3 ) 2 ( x − 6 ) \displaystyle {P}{\left({x}\right)}={\left({x}-{3}\right)}^{{2}}{\left({x}-{6}\right)} P ( x ) = ( x − 3 ) 2 ( x − 6 ) , find
its
y \displaystyle {y} y -intercept is
Preview Question 6 Part 1 of 5
its
x \displaystyle {x} x -intercepts are
x 1 = \displaystyle {x}_{{1}}= x 1 = Preview Question 6 Part 2 of 5 and
x 2 = \displaystyle {x}_{{2}}= x 2 = Preview Question 6 Part 3 of 5 with
x 1 < x 2 \displaystyle {x}_{{1}}<{x}_{{2}} x 1 < x 2
When
x → ∞ \displaystyle {x}\to\infty x → ∞ ,
y → \displaystyle {y}\to y → ∞ \displaystyle \infty ∞
(Input + or - for the answer)
When
x → − ∞ \displaystyle {x}\to-\infty x → − ∞ ,
y → \displaystyle {y}\to y → ∞ \displaystyle \infty ∞
(Input + or - for the answer)
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