Consider the exponential function

MATHEMATICS · Multi-part · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

f(x)=5^{x}

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

f

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

f

on the

y

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

f

and justify your answer. (iv) Explain whether

f

is increasing or decreasing on its domain.