109_Math Magic Pick a number

Math Magic Pick a number (1 – 10) x Multiply by 2x Add 2x + Divide by 2x + Subtract the original number 2x + −x Find your answer on the charts Pick a country which starts with the corresponding letter Pick an animal which starts with the next letter Skip a letter and pick a color that start with the next letter A B F G C H D I E 10 J Who has “Grey Elephants in Denmark”? Function Machine Input x Result 2x + f ( x) = −x ? Input x x Function 2( x ) + − ( x) 2(1) + − (1) 2( ) + − ( 2) 2( 3) + − ( 3) 2( ) + − ( 4) 2( x ) + − ( x) Result y 4 4 2( x ) + − ( x) = 2x + −x=4 Questions ? Why does this work? Is the domain really limited to - 10? Find another equation which has infinite solutions? ... letter Pick an animal which starts with the next letter Skip a letter and pick a color that start with the next letter A B F G C H D I E 10 J Who has “Grey Elephants in Denmark”? Function Machine.. .Pick a number (1 – 10) x Multiply by 2x Add 2x + Divide by 2x + Subtract the original number 2x + −x Find your answer on the charts Pick a country which starts with the corresponding letter Pick. .. x ) + − ( x) = 2x + −x=4 Questions ? Why does this work? Is the domain really limited to - 10? Find another equation which has infinite solutions?