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anonymous
 one year ago
Need assistance with understanding the rational behind finding domain and range of functions such as 4x^2 and 3/x
anonymous
 one year ago
Need assistance with understanding the rational behind finding domain and range of functions such as 4x^2 and 3/x

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freckles
 one year ago
Best ResponseYou've already chosen the best response.2domain is the set of x values for which the function exists range is the set of y values for which the function exists

freckles
 one year ago
Best ResponseYou've already chosen the best response.2y=x^2 looks like: dw:1440652144059:dw notice here the domain is all real numbers because the curve there exists for all real values on the xaxis notice the range there is [0,infty) because the curve just isn't there for negative y values

freckles
 one year ago
Best ResponseYou've already chosen the best response.2y=x^2 looks like: dw:1440652231574:dw notice the domain is still all real numbers but the range is (inf,0] since the graph just does not exist for positive y values

freckles
 one year ago
Best ResponseYou've already chosen the best response.2y=1/(x1) notice without graphing we can find the domain to be all real numbers but x=1 because we know we cannot divide by 0 and x1=0 when x=1 see f(x)=1/(x1) ...f(1)=1/(11)=1/0 <we have 0 on bottom you cannot divide by 0 the domain you find visually and algebraically is (inf,1) union (1,inf) and notice y=1/(x1) this will never be 0 so the range is everything by y=0 so you can say that by saying (inf,0) union (0,inf) You can see this visually as well: dw:1440652384055:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think that cleared it up for me Thank You!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The graphs were a big help

freckles
 one year ago
Best ResponseYou've already chosen the best response.2visual aids do help in math i agree with that
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