Connection: Candy Jar to Math

Now, let's connect the candy jar analogy to real graphs. Imagine a graph where the x-axis represents the distance you walk towards the candy jar, and the y-axis represents how many candies you can see. As you walk closer to the jar (moving along the x-axis), you can see more candies (moving up the y-axis). The closer you get to the jar, the clearer the number of candies becomes, even if you don't actually reach the jar. In mathematical terms, the limit describes the value that the function (the number of candies you can see) approaches as you get closer to a specific point on the x-axis. For example, if the graph shows that as you approach a particular x-value, the y-values get closer and closer to 10, then we say the limit of the function as x approaches that value is 10. This means that even if you don't reach the exact point on the x-axis, the y-values indicate that the function is getting closer to 10. Just like in our analogy, even if you don't touch the candy jar, you can still tell that the number of candies you're seeing is approaching a certain amount.

Math from kids, for kids

By AZ3D (Auggie)

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