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Inverse Relations. To find an inverse mathamaticaly there is one simple rule: Switch the x and y XY.

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Presentation on theme: "Inverse Relations. To find an inverse mathamaticaly there is one simple rule: Switch the x and y XY."— Presentation transcript:

1 Inverse Relations. To find an inverse mathamaticaly there is one simple rule: Switch the x and y XY

2 You can do this with anything. Sets of Points: (, )(, )(, )(, )32-5-7-225 Equation: = 3 - 9xy Now you have to solve for y :

3 You can also do this with a graph Graph the line: y = -2x + 3 Draw the line y = x Flip the line across this line. xf(x) x

4 1 3 -4 4545 1 3 -4 4545 In a mapping: Reverse the x and y values by switching the direction of the arrows? Is the inverse relation a function?

5 You can also do this with a table Graph the line: y = 2x -4 xf(x) 0-4 1-2 20 -6 -2-8 xf(x)x -40 -21 02 -6 -8-2 xf(x)

6 You can also do this with a table Graph the line: y = x 2 + 1 xf(x) 01 12 25 2 -25 xf(x)x 10 21 52 2 5-2 xf(x)


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