So remember all power functions are continuous. Then all exponential functions are continuous examples f of x equals 3 to the x g of x equals 10 to the x, h of x equals e to the x. All of these functions all exponential functions are continuous everywhere.
Is an exponential function discrete or continuous?
Exponential functions are a lot like geometrical sequences. The main difference between them is that a geometric sequence is discrete while an exponential function is continuous.
How do you know if an exponential function is continuous?
Your pre-calculus teacher will tell you that three things have to be true for a function to be continuous at some value c in its domain:
- f(c) must be defined. ...
- The limit of the function as x approaches the value c must exist. ...
- The function's value at c and the limit as x approaches c must be the same.
