Luna programs two number generating functions. If you plug in an domain
, it generates a new output value. Her first function rule is f(x)=x+7. The second function is f(x)=x². The first function rule adds one to the output for every one change to input. Therefore it has a
. The second function is
. Now let's finish Luna's table of values. For x=3, we know that f(x)=x+7=3+7=10. We also know that f(x)=x²=3*3=9. For x=4, the output values for the two functions are
, respectively. So, the second function wins Luna's Function Smackdown!