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given no other restrictions what are the domain and range of the following function f(x)=x^22x+2
 2 months ago
 2 months ago
given no other restrictions what are the domain and range of the following function f(x)=x^22x+2
 2 months ago
 2 months ago

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zzr0ck3rBest ResponseYou've already chosen the best response.0
it's there any r reason that you can't plug in all numbers?
 2 months ago

agent0smithBest ResponseYou've already chosen the best response.0
For the domain  are there any xvalues that you can NOT plug into this function? If you can plug in any xvalue in, the domain is all real numbers. For example  in a function like
 2 months ago

agent0smithBest ResponseYou've already chosen the best response.0
For example  in a function like y = sqrt x, you can't take the square root of a negative number, so the domain is x>0. For a function like y = x^3, you can plug in any x value, so domain is all real numbers.
 2 months ago

Emily778Best ResponseYou've already chosen the best response.0
so the answer is all real numbers?
 2 months ago

agent0smithBest ResponseYou've already chosen the best response.0
Well, are there any numbers you can NOT plug into x^22x+2 ? And don't worry if you're confused at first. A lot of my honours precalc students are baffled by finding domain of this... when it's so incredibly easy.
 2 months ago

Emily778Best ResponseYou've already chosen the best response.0
So is it "D={xx>=2} R= all real numbers"?
 2 months ago

agent0smithBest ResponseYou've already chosen the best response.0
Wrong way around. Domain is all real numbers.
 2 months ago

agent0smithBest ResponseYou've already chosen the best response.0
And you have to find the range, by first finding the vertex of the function.
 2 months ago

Emily778Best ResponseYou've already chosen the best response.0
D and R are all real numbers?
 2 months ago

agent0smithBest ResponseYou've already chosen the best response.0
Domain is all real. Range is not. Find the minimum value of the function, by finding the vertex. The xvalue of the vertex is given by x = b/(2a). Once you have x, plug that into the function to find y.
 2 months ago
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