The Wave Function

 

·       Maximum and Minimum values

 

Since k is the amplitude, this will give you the maximum

 and minimum value of the expression.

 

Example

 

 

 

 

Example

 

 

 

 

 

 

 

Sketch of graph from question above.

 

 

When sketching a wave function ,

Remember to include the  Key points: -

·       Maximum  ( take from amplitude)

·       Minimum   ( take from amplitude)

·       Cuts y  axis when x = 0 ( evaluate with x = 0)

·       Cuts x-axis  when y= 0   ( set function = 0 )

 

 

 

·       Equations

 

Use the wave function to solve equations.

 

Example