SOLUTION: I have a homework question that is due in 4 hours and I have tried to figure it out with nothing working. The question is: find the domain and range of the function f(x)=-5x^2+3

Question 86105: I have a homework question that is due in 4 hours and I have tried to figure it out with nothing working. The question is: find the domain and range of the function f(x)=-5x^2+3 I have no clue what I am doing or supposed to do. Can someone walk me thru this? Please.
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!
The domain of a function are the values that you can put into a function without it "blowing up." What makes a function "blow up?" Generally, its:
* division by zero.
* places where you might take the square root of a negative number

For this problem, the domain is the set of all Real Numbers, since I can plug any Real Number into this equation for x and the result, f(x) will be a valid number.
The range of a function is the value of things that you get out of it. One way to figure this out is to graph it. Or, you can look at the equation and see that no matter what you plug in for x, f(x) will never be greater than 3 (the case where x is zero). So the range of this function is f(x)<=3.
Good Luck,
tutor_paul@yahoo.com

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