Answer
a) III
b) I
c) II
d) IV
Work Step by Step
a) Since an exponential graph with a positive base and positive exponent increases as x increases, it must be III.
b) When the exponent in an exponential graph is negative, the graph of III is reflected horizontally, making graph I.
c) When the base in an exponential graph is negative, the graph of III is reflected vertically, making graph II.
d) When both the base and exponent are negative in an exponential graph, the graph of III is reflected both horizontally and vertically, making graph IV.