This activity helped me understand the relationship between exponents and bases better by showing me visually. I learned that in our equation, the bigger X is, the smaller Y will be as it is turned into a fraction; if X is bigger than 1, Y will be in fraction form. This is because if the exponent is negative, the equation has to be a fraction in order for the exponent to be positive. On the X axis, the points get closer and closer to 0 as X grows, without ever actually reaching 0.
When we compared our group to group 5’s, we realized that our graphs are mirror images of each other. This is because they had the same equation to represent, without the negative sign in front of the exponent, so when our X was negative, the other negative sign cancelled it out, making a positive. This is the opposite of group 5, as when X was negative, the exponent was negative also (this means that we had small fractions on opposite ends of the graphs on the X-axis.)


