KJ4UTS
  • KJ4UTS
Match the function with its graph.
Mathematics
schrodinger
  • schrodinger
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KJ4UTS
  • KJ4UTS
KJ4UTS
  • KJ4UTS
I am confused because: g(x) = x^5-3x^2+1, a <0 makes the graph of choice 3 g (x) = x^3-3x^2+1, a>0 makes the graph of choice 3 f (x) = x^4-3x^2+1, a>0 makes the graph of choice 1 f (x) = x^6-3x^2+1, a<0 makes the graph of choice 1 Choices 1 and 3 look like it would go to + infinity Choices 2 and 4 look like it would go to - infinity
freckles
  • freckles
so let's look at graph 1... it looks like from what you said above you know you must have an even degree polynomial correct?

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KJ4UTS
  • KJ4UTS
yeah
freckles
  • freckles
ok great so we have the options g(x)=ax^4 where a>0 or g(x)=ax^6 where a<0 as are only options
freckles
  • freckles
for the first graph
freckles
  • freckles
the trick is the negative and positive part
freckles
  • freckles
do you know what g(x)=x^4 and g(x)=-x^6 look like?
freckles
  • freckles
or at least their end behavior
KJ4UTS
  • KJ4UTS
I graphed it where does the g(x)=-x^6 come from the - sign?
freckles
  • freckles
I'm going to call them something different... g(x)=x^4 and f(x)=-x^6 --- g(100)=100^4 <--a really really big positive number where as f(100)=-100^6 <---a really really big negative number
freckles
  • freckles
your options says a<0
freckles
  • freckles
for the x^6 graph
freckles
  • freckles
a<0 means a is negative
freckles
  • freckles
a>0 means a is positive
KJ4UTS
  • KJ4UTS
oh I see > greater than which is + and < less than which is -
freckles
  • freckles
yep and I just chose 1 and -1 because they are the prettiest negative and positive numbers
freckles
  • freckles
f(x)=1x^4 and g(x)=-1x^6 look at graphs 1 and 4... which graph would be closer to something like f(x)=1x^4?
freckles
  • freckles
like just look at the end behavior or look at what f(100)=100^4 this means when you plug in a really large positive x value you are going to get a really ridiculous large positive output y value
freckles
  • freckles
graph 4 says well if I plug in a really big positive x value I'm going to get a really big negative y output
KJ4UTS
  • KJ4UTS
I got it now from top to bottom would be 2 1 4 3 the - in front of the x's was where I was making a mistake.
freckles
  • freckles
you got it
KJ4UTS
  • KJ4UTS
Thank you for taking the time to explain this to me I really appreciate it :)
freckles
  • freckles
np :)

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