What type of function is this: f(x) = 2x^2 -7x+3
I think it is a polynomial and... quadratic..? (It could also be rational, linear, radical, exponential???)
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OpenStudy (anonymous):
U think right.
OpenStudy (anonymous):
quadratic
OpenStudy (anonymous):
it's defintiely a polynomial as well, though?
OpenStudy (anonymous):
and not a rational? :P
OpenStudy (aroub):
i don't think its a rational!
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OpenStudy (anonymous):
Can you help me with the degree, term? Degree should be 2 and term.. is 3? for 3 terms?
OpenStudy (anonymous):
definitely a polynomial. rational means you can make it into a fraction, which usually only applies to numbers, not variables
OpenStudy (aroub):
the degree yes its 2 (the degree of a polynomial is the highest degree for a term)
OpenStudy (anonymous):
in english, the exponent = the degree? It has 3 terms right?
OpenStudy (anonymous):
and is the leading coefficient the first or highest?
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OpenStudy (anonymous):
exponent=power
OpenStudy (aroub):
in english...lol , the highest
OpenStudy (anonymous):
wait it would still be 2right? Because the 7x is negative?
OpenStudy (anonymous):
come to facebook
OpenStudy (anonymous):
it is a quadratic equation and a polynomial........... as its highest power is two
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OpenStudy (aroub):
yes its 2
OpenStudy (anonymous):
we cant call it exponential
OpenStudy (anonymous):
what is it's constant term?
OpenStudy (anonymous):
because it has a quadratic curve not an exponential one with asymptode
OpenStudy (aroub):
the constant term is the number which is 3
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OpenStudy (anonymous):
oh durrr :)
OpenStudy (anonymous):
Hash you get a medal for reminding me what exponential graphs look like.
OpenStudy (anonymous):
it's domain is all real right?
OpenStudy (anonymous):
yeah all real
OpenStudy (anonymous):
thank you :)
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OpenStudy (anonymous):
how do you use algebra to find the zeros again..?
OpenStudy (anonymous):
let y = 0 right?
OpenStudy (anonymous):
correct!
OpenStudy (anonymous):
and solve for x
OpenStudy (anonymous):
so basically, factor it?
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OpenStudy (aroub):
if u want to find y , x=0 if u want to find x , y=0
OpenStudy (anonymous):
I'm getting .5 and 3 for the 0s... great lol
OpenStudy (anonymous):
wait, would i factor this like normal, using ( ) ( ) = 0?
OpenStudy (anonymous):
or do I have to put this in the quadratic..
OpenStudy (anonymous):
oh I guess it factors
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OpenStudy (anonymous):
yay. Thanks yo.
OpenStudy (aroub):
well for this one i guess no need for the quadratic , it will be ( x-3)(2x-1)
OpenStudy (aroub):
=0
OpenStudy (anonymous):
indeed!
OpenStudy (aroub):
:)
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OpenStudy (anonymous):
wait
these 0s are x intercepts right!?
OpenStudy (aroub):
yes
OpenStudy (anonymous):
and all 0s of these kind of functions have to be x intercepts right?
OpenStudy (anonymous):
is u put the image or y=0 you get x inyercepts
OpenStudy (aroub):
yea i guess!! :)
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OpenStudy (anonymous):
okay, say you put this in your calculator... how could you evaluate f(-.25)...
OpenStudy (anonymous):
you just hit trace and input -.25 and get the output (y) right?