Answer the following with respect to the standard logarithmic function whose graph is…
MATHEMATICS · Multi-part · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions
Problem
Answer the following with respect to the standard logarithmic function y=logax(a>0,a=1) whose graph is drawn on the usual Cartesian plane.
(i) State its domain and range.
(ii) Write the coordinates of the point where the graph meets the x-axis.
(iii) Write the equation of its vertical asymptote.
(iv) List the nature of the graph (increasing/decreasing and concavity) separately for the two cases a>1 and 0<a<1. Explain your answer in one or two sentences for each case.