We are given the following functions:
[tex]\begin{gathered} f(x)=2^x \\ f(x)=10^x \\ f(x)=e^x \end{gathered}[/tex]
These function are exponential functions of the form:
[tex]f(x)=a^x[/tex]
Where the value of "a" indicates if the function is of exponential grow or exponential decay. If:
[tex]a>1[/tex]
The function is exponential growth, and if:
[tex]0Then the function is exponential decay.
The common attribute of the functions is that they are all exponential growth.
The common points are the points of interception of the graphs. We notice that all the graphs have y-intercept at y = 1, therefore, the common point is:
[tex](x,y)=(0,1)[/tex]
