IB DP Maths: AI HL复习笔记2.6.1 Properties of Further Graphs

What are the key features of logarithmic graphs?

This can be found using your GDC

• • The graphs do not have any minimum or maximum points
  • The value of b determines whether the graph is increasing or decreasing
    • If b is positive then the graph is increasing
    • If b is negative then the graph is decreasing

What are the key features of logistic graphs?

• There are no roots
• There is a horizontal asymptote at y = L
  • This is called the carrying capacity
    • This is the upper limit of the function
    • For example: it could represent the limit of a population size
• There is a horizontal asymptote at y = 0
• The graph is always increasing