What is exponential function ?

Prove that the exponential function is strictly increasing on R.

Show that the exponential function f:Rvec R , given by f(x)=e^(x), is one-one but not onto. What happens if the co-domain is replaced by R_(0)^(+)( set of all positive real numbers).

Show that the exponential function f:R rarr R given by f(x)=e^(x), is one-one but not onto. What happens if the co-domain is replaced by R0+( set of all positive real numbers).

Differentiation of exponential function

Which one of the following is not correct for the feature of exponential function given by f(x)=b^(x) , where b gt 1 ?

Graph of Exponential function for base >1

Explain Exponential function with graph (a^(^^)x)

The exponential function a^(x);a>0 is everywhere continuous.