(a) Define an exponential function and a logarithmic function with base . (b) For the…

MATHEMATICS · Subjective · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

(a) Define an exponential function and a logarithmic function with base

a

. (b) For the exponential function

f(x)=2^{x}

state: (i) its domain and range, (ii) the

x

-intercept(s) and

y

-intercept(s), (iii) the equation of its asymptote. (c) For the logarithmic function

g(x)=\log_{2}x

state: (i) its domain and range, (ii) the

x

-intercept(s) and

y

-intercept(s), (iii) the equation of its asymptote.