SOLUTION: The domain of this function is the set of all positive real numbers. Find the range of f(x)= 2x+7

Question 842497: The domain of this function is the set of all positive real numbers. Find the range of f(x)= 2x+7
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
The domain of this function is the set of all positive real numbers.
This means that the domain is x > 0.
x can't be equal to 0 because 0 is not a positive number.
the range of the function is equal to 2x + 7
your equation is y = 2x + 7
when x is equal to 0, y = 7.
since x has to be greater than 0, this means that y has to be greater than 7.
the range of the function is the set of all real numbers greater than 7.
the domain of the function is the se of all real numbers greater than 0.
a graph of the function is shown below:

in this graph, the values that are valid are x > 0 which results in y > 7.
a horizontal line at x = 7 shows you that all the valid values of y will be above that line.

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