MATHEMATICS · Multi-part · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms
Problem
Two exponential functions are given: p(x)=3x and q(x)=3x+5.
(i) Find the domain and range of p(x).
(ii) Find the domain and range of q(x).
(iii) Explain clearly why the two domains are identical but the two ranges differ, linking your explanation to the effect of vertical translation on the graph.