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Intersection of Graphs. Example (1) Why we get two answers, when actually the graphs intersect at only one point?

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Presentation on theme: "Intersection of Graphs. Example (1) Why we get two answers, when actually the graphs intersect at only one point?"— Presentation transcript:

1 Intersection of Graphs

2 Example (1)

3

4

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

6 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

7 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?

8 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)

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


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