Exponential Functions Introduction L O All pupils recognise
- Slides: 20
Exponential Functions Introduction L. O. All pupils recognise functions displaying exponential growth and decay Most pupils can sketch exponential functions
Starter:
Exponential Functions Introduction L. O. All pupils recognise functions displaying exponential growth and decay Most pupils can sketch exponential functions
Main 1: recognise functions displaying exponential growth and decay Radio active substances often have a half life. This follows exponential decay.
Main 1: recognise functions displaying exponential growth and decay ‘Money makes money’ Investments can increase using compound interest. This follows exponential growth.
Main 1: recognise functions displaying exponential growth and decay
Main 1: recognise functions displaying exponential growth and decay Is this an exponential function?
Main 1: recognise functions displaying exponential growth and decay Is this an exponential function? Polynomial Negative 1
Main 1: recognise functions displaying exponential growth and decay Side note: What are the rules of indices?
Main 1: recognise functions displaying exponential growth and decay Side note: What are the rules of indices? Rules: Powers: Multiplying with the same base To the power of zero Dividing with the same base To the power of 1 Addition and Subtraction Negative powers Power of a power Fractional powers
Main 1: recognise functions displaying exponential growth and decay Substitute in some values:
Exponential Functions Introduction L. O. All pupils recognise functions displaying exponential growth and decay Most pupils can sketch exponential functions
Main 2: sketch exponential functions 1. Table of values 2. Sketch 3. What do you notice about the graph?
Main 2: sketch exponential functions 1. Table of values 2. Sketch 3. What do you notice about the graph?
Main 2: sketch exponential functions Is it ever negative? Is it ever zero? Does it have any asymptotes?
Main 2: sketch exponential functions
Main 2: sketch exponential functions The higher the number on the base, the steeper the graph, the lower the number on the base, the flatter the graph. Negative powers reflect the graph over the y axis
Exponential Functions Introduction L. O. All pupils recognise functions displaying exponential growth and decay Most pupils can sketch exponential functions