Mr Nguyen VCE Maths Methods 12

Learning objectives: Identify the general formula for a logarithm function  Identify the shape of a logarithmic function Investigate the key characteristics of a logarithmic graph Task 1: investigating the base  click here increase and decrease 'a', describe what you see when a>0 describe what you see when a<0 can a=0? describe the graph when a=1 what conclusion can you make about the base of a logarithmic graph and how it affects the graph? Task 2: investigating the asymptote  click here describe the graph as you increase and decrease 'b' describe the graph as you increase and decrease 'A' describe the graph as you increase and decrease 'h' describe the graph as you increase and decrease 'k' Reflection: why do you think the parenthesis A(x-h) was necessary to express the value of the vertical asymptote?

Objectives Students consider left and right limits- as well as function values- in order to develop an informal and introductory understanding of continuity. Task 1: click here  and complete the task Task 2 : copy the note