IB DP Maths: AA HL复习笔记2.4.1 Exponential & Logarithmic Functions

What is an exponential function?

What are the key features of exponential graphs?

• The graphs have a y-intercept at (0, 1)
• The graphs do not have any roots
• 
  • For a > 1 this is the limiting value when x tends to negative infinity
  • For 0 < a < 1 this is the limiting value when x tends to positive infinity
• The graphs do not have any minimum or maximum points

What is a logarithmic function?

What are the key features of logarithmic graphs?

• The graphs do not have a y-intercept
• The graphs have one root at (1, 0)
• The graphs do not have any minimum or maximum points