Let . Answer the following questions, giving brief reasons in each…

MATHEMATICS · Multi-part · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

Let

f(x)=\dfrac{3}{2}\left(\dfrac12\right)^{x}

. Answer the following questions, giving brief reasons in each case. (i) State the domain of

f

. (ii) State the range of

f

. (iii) Find the

y

–intercept of the graph of

f

. (iv) Identify the horizontal asymptote of the graph. (v) Determine whether

f

is increasing or decreasing on its domain and justify your answer.