exponential functions

A function is exponential if it has this algebraic expression:

Its domain is R and its range is (0,∞), and it has no symmetry. It is decreasing if 0 < a < 1, or increasing if a > 1, in its domain. It has no extrema. The graph always contains (0,1).

Examples:

Exercise: draw the graph of these functions:

a) f(x) = 2^2x

b) f(x) = 2^-x

 

 

 

 

 

 

 

Solutions:

a) 

b)