Mathematics

Problem

Consider the exponential function

f(x)=5^{x}

. Answer the following questions, giving suitable reasons wherever necessary: a. (i) State the domain and the range of

f

. b. (ii) Find the coordinates of the intercept made by the graph of

f

on the

y

-axis. c. (iii) Identify any asymptote of the graph of

f

and justify your answer. d. (iv) Explain whether

f

is increasing or decreasing on its domain.