Question

Given the equation: y = -3(1/2)^x-2 + 6?

a) Graph the function using a suitable scale and any means at your disposal.

b) Draw the secants from the y-intercept to each of the point on the curve ending at x = -2, 1, 0.5, 0.1, 0.01, 0.001.

c) Determine the equations of each of the secants constructed in part b).

d) Determine the equation of the tangent at the y-intercept in simplified form.