SOLUTION: What happens when a stationary point is outside a domain?

Question 1114106: What happens when a stationary point is outside a domain?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
i believe that, if the point is outside the domain, then it is not considered and can't be part of the range.

for example:

suppose your equation is y = sqrt(x).

x can't be negative, so any value of x less than 0 is outside the domain.

the domain is all non-negative values of x.

if you have a point, such as x = -1, it is outside the domain and not used in determining the range.

sometimes a point is outsides the domain because it is impossible to be in the dcomain, such as the example above.

other times a point is outside the domain because you say it can't be part of the domain, such as an equation of something like y = x + 3, where x >= 0.

if you use graphing software, the software doesn't know enough to not try to graph negative values of x, and your graph will show values of y for those negative values of x, but you would need to black out those area on the graph or instruct the users not to look at any points for x < 0 because they do not apply to the problem.

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