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awarded  Teacher
Feb
2
comment Plotting the domain of a Function on a Number Line
You're going to wind up with a whole range of numbers that give you real numbers. The dot goes on the boundary of the range, and filling it in or not tells you whether to include the boundary or not.
Feb
2
comment Plotting the domain of a Function on a Number Line
Exactly. If you take the square root of a negative number, you get an imaginary result. With that constraint, you know that 4x + 8 >= 0 in order for the result to be real. Without the square root, the domain would be all numbers.
Feb
2
answered Plotting the domain of a Function on a Number Line
Feb
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