Question 1023646
As x gets large (positive), all three factors stay positive so the function goes to {{{infinity}}}
As x gets large (negative), all three factors stay negative so the function goes to {{{-infinity}}}.
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When {{{x=0}}}, {{{y=(-2)(-3)(5)=30}}}
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1.({{{-infinity}}},{{{-5}}})
2.({{{-5}}},{{{2}}})
3.({{{2}}},{{{3}}})
4.({{{3}}},{{{infinity}}})
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1.({{{-infinity}}},{{{-5}}})
{{{x=-6}}}
{{{y=(-6-2)(-6-3)(-6+5)=(-8)(-9)(-1)=-72}}}
Negative
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2.({{{-5}}},{{{2}}})
{{{x=0}}}
{{{y=30}}}
Positive
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3.({{{2}}},{{{3}}})
{{{x=5/2}}}
{{{y=(5/2-2)(5/2-3)(5/2+5)=(1/2)(-1/2)(15/2)=-15/8}}}
Negative
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4.({{{3}}},{{{infinity}}})
{{{x=4}}}
{{{y=(4-2)(4-3)(4+5)=(2)(1)(9)=18}}}
Positive
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*[illustration dv6.JPG].