SOLUTION: How do I find the relation of y to x in the function of x=(y+2)^2. Would this be a continuous function? i know that in this kind of equation were I to show it on a graph, x would

Question 661157: How do I find the relation of y to x in the function of x=(y+2)^2.
Would this be a continuous function? i know that in this kind of equation were I to show it on a graph, x would be to plotted 2 units to the left. But what would my y coordinants be?
Found 2 solutions by swincher4391, MathLover1:
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
Right now you have a relation mapping x to y. You want to find y to x, so solve for y.

Take the square root.

This function is continuous on (0,oo) since anything outside of that domain would result in the square root of a negative number.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
If the graph is a continuous, unbroken line, then we can to say that is a continuous function.

..take a square of both sides

domain: all real non-negative numbers where ( if )
range: all real numbers where ( if )

the graph starts at continues as unbroken line, then we can to say that is a continuous function

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