Domain and Range

scoopes81

New member
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Nov 11, 2011
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Can someone please help me answer this question?

Find the domain and range of y=f(x)=6x^2+3
 
D = (xER)

R = (yER,y<3)

Hope this helps

If y = f(x) = 6x2 + 3, then the MINIMUM value of 6x2 occurs when x = 0. If x is NOT EQUAL to 0, then 6x2 > 0.

So, if x = 0, f(x) = 0 + 3, or f(x) = 3.

If x <0 or x > 0, 6x2 > 0, and
f(x) > 0 + 3
f(x) > 3

Or, we can say that regardless of the value of x, f(x) > 3, and the range of the function should be all real numbers greater than or equal to 3.
 
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