To find: Graph the given function
See the graph.
Graphs of required functions are given below:
Since 3<10, graph of 10x increases more rapidly than graph of 3x. Also, as 133-1>110(=10-1) therefore the graph for 10-x decreases more rapidly than the graph for 3-x.
Conclusion: See graph.
1) You can observe from the graph that, as the base increases, graph of the function increases more rapidly (for x>0).
2) Graphs of all the functions pass through the same point (0,1) because base0=1 for base≠0.
3) The graph for base-x is just the reflection of the graph for basex about the line y=x.