Question 3. Assume La(x) is the line that is tangent to the graph of y = f(x) = x^2 at (a, f(a)). Let Aa be the point at which La(x)

intersects the line x=0. (1) (1 point) Find the equation for La(x) for each a €R. (2) (1 point) Compute the distance between the points Ax and (x,f(x)). (3) (1 point) Find the rate of the change of the distance between A, and (x, f(x)) with respect to x. (4) (2 points) Use the definition of derivative to show that this rate is not defined at x= 0.