.........................

3. Confirm your answer to the last question by entering the following command into Desmos: 1(2.1) - 1(2) 2.1- 2 4. If we calculate the secant line slopes through the point (2, f(2)) and a generic point (z. f(r)), these slopes will approach the slope of the tangent line as r approaches 2. Note: Recall that the exact value of the slope at (2, f(2)) is the limit man - lim f(2) - f(2) I - 2 Using Desmos, fill in the following table to calculate the limit at a approaches 2 from both sides. Round your answers to 6 decimal places. 0 = 2 I Slope 2 1.9 2 1.99 2 1.999 2 1.9999 2 2.1 2 2.01 2 2.001 2 2.0001 2 2 Estimate the Actual Slope = mian = 5. Using your man value above, write the equation for the tangent at (2, f(2)) in Slope-Intercept form. 6. Let's call your equation of the tangent t(x). Using Desmos, type t(r) = whatever equation you found above. Copy your tangent line onto the graph on the first page. Label each function as f(r) and 1(x)