a) Please see the graph. b) (0,1) is the point c) No. d) As $b$ increases, the steeper the graph gets.
Work Step by Step
a) The graph was made using graphing software. blue line: $y = 2^x$ green line: $y=4^x$ orange line: $y = .25^x$ b) The point was found by graphing all three lines. c) The lowest value of an exponential function (with a positive value of the base) is almost zero. d) The graph reaches higher values with lower values of $x$ as $b$ increases.