This activity was a great way to show the relationship between x and y in the function y=4^x. It’s a visual way of seeing that when x is a positive number, y increases quickly. Whereas if x is a negative number, y becomes smaller than 1 and becomes smaller and smaller but never becomes 0. This is called asymptote when the line approaches something but never reaches it. It was interesting to see how changing the exponent made the graph change. The only graphs we did in grade 9 involved straight lines but now we can see how this can be changed. A graph which would be related to this one would be y=4^-x. It would be the opposite of ours, starting from the negative numbers and curving towards the positive numbers. A mirror image of this from the y-axis.