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Math Magic Pick a number (1 – 10) x Multiply by 2 2x Add 8 2x 8 Divide by 2 2x 8 2 Subtract the original number 2x 8 x 2 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 1 A 6 F 2 B 7 G 3 C 8 H 4 D 9 I 5 E 10 J Who has “Grey Elephants in Denmark”? Function Machine Input x Result 2x 8 f ( x) x 2 ? Input x 1 2 3 4 x Function 2( x ) 8 ( x) 2 4 2(1) 8 (1) 2 2( 2 ) 8 ( 2) 2 2( 3) 8 ( 3) 2 2( 4 ) 8 ( 4) 2 2( x ) 8 ( x) 2 Result y 4 4 4 4 4 2( x ) 8 ( x) 4 2 2x 8 x4 2 Questions ? 1. Why does this work? 2. Is the domain really limited to 1 - 10? 3. Find another equation which has infinite solutions?