Graphing exponential/ logarithmic functions

Graphing exponential/ logarithmic functions

Graphing Exponential Equations

• Diagnose your a in $\ y=a\cdot b^x$  

• Diagnose your b in  $y=a\cdot b^x$  

• Plug in two points: x=0 and x=1. (these are the easy points!)

For Example:

• Graph

   $y=2\left(2\right)^x$  

• What would happen to the x and y values in your coordinate if you added 1 to the whole equation. i.e.  $y=2\left(2\right)^x+1$  

• What would happen to the x and y coordinate if you added 1 to just the exponent. i.e.  $y=2\left(2\right)^{\left(x+1\right)}$ 

You try's.

• Graph  $y=3^x$  

• Graph  $y=2\left(3\right)^x$  

Graphing Logarithmic Equations

• Remember the basic flip from exponential to logarithmic.

• Plug in your basic y values for  $y=\log_2\left(x\right)$  

For example:

• Graph  $\log_{10}\left(x\right)$  

• What would happen to the x and y values in your coordinate if you added 1 to the whole equation. i.e.  $\log_{10}\left(x\right)+1$  

• What would happen to the x and y coordinate if you added 1 to just the exponent. i.e.  $\log_{10}\left(x+1\right)$  

You Try:

• Graph  $\log_5\left(x\right)$