- The activity at the beginning of the hour helped with the first GIF because it gave us a little hint on what we were supposed to do. Going into the assignment with a little idea as of what to do is a lot more helpful than going into the assignment with no idea at all.
- We struggled with finding out how to calculate the y-intercept for the line. We ended up finding out how to get the y-intercept, but it was only after a lot of experimentation with moving different points and paying close attention to the a and b values.
- To change the graph, we had to set the stationary point to a slider point, but after that we had to change the slope to m = (f(a)-f(b))/(a-b). The result equation (should've been) Y = m(x - a) + f(a)
- It was cool how the tangent lines still worked, even when the equation was completely different.
- Analyzing the secant lines helps determine the tangent line of a function because the tangent line is just the secant line when the two points get infinitely close to each other.
Graph 1
Graph 2
Graph 3