Intersection of Graphs

Example (1)

Why we get two answers, when actually the graphs intersect at only one point?

Answer: Because, when we squared √( x+2), we introduced the other function whose square is also equal x+2 Which function is this? At which point does it intersect the line y = x+2

It is the function y = - √( x+2) It intersects the line y = x+2 at the point whose x coordinate is 7. What is the y-coordinate of this point?

The y-coordinate of this point is equal to - √(7+2) = - 3 The point (7, -3) is the point of intersection of the given line with the function y = - √(x+2)

The intersection of the line y = x +2 with the function y = - √(x+2 and the function y = - √(x+2