We completed an in class activity where students needed to guess the equation for a given graph. We thought the graph was y = x, but then we looked at a table of values to test our idea. We noticed from the table that the graph could not be y = x. It was y = sin (x) zoomed in at x = 0. Great job with your deduction skills! Then we took the the same sine function and zoomed in at x = pi/2 and at x= pi. We discovered that the function would look linear but noticed differences in their slops. We saw that there are many functions that are locally linear. We also found that the absolute value function is not locally linear at the origin. We understood the meaning of the derivative as the slope of the tangent line at a certain point. If a function is not locally linear at a particular value "a", then it will not have a derivative at "a."

HW: Complete the 1/2 sheet Limit review B/C and #8 from WS Local Linearity.