Open the “Logarithmic Functions” interactive figure, which is available in the Video & Resource Library of MyLab Math (under Interactive Figures) or at bit.ly/3raFUGB.

(a) The interactive figure shows the graph of f (x) = c · log_a ( x − h) + k. Set the values of c to 1, h to 0, and k to 0. Use the slider to adjust the value of a from 0.25 to 3. A logarithmic function is_________ (increasing/decreasing) if 0 < a < 1 and is________ (increasing/decreasing) if a > 1.

(b) Set the values of a to 2, c to 1, h to 0, and k to 0. The graph of f (x) = log₂x contains the points (1/2,____), (1_____), and (2,____).

(c) Set the values of a to 3, c to 1, h to 0, and k to 0. The graph of f (x) = log3x contains the points (1/3,_____), (1,____), and (3,____).

(d) Set the values of a to 0.5(= 1/2), c to 1, h to 0, and k to 0. The graph of f (x) = log_1/2 x contains the points (1/2, ___), (1,___), and (2,___).