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Graph of Exponentials

What would the graph of this thing look like?

y = 2^( -x )

Let's see...

x: -2 , -1 , 0 , 1 , 2 ... y: 2^( -( -2 ) ) = 2^( 2 ) = 4 , 2^( -( -1 ) ) = 2^( 1 ) = 2 , 2^( -0 ) = 1 , 2^( -1 ) = ( 1 / 2 ) , 2^( -2 ) = ( 1 / 4 )

graph of y = 2^( -x )

This is called
"exponential decay."

I've got some pretty cool examples of exponential decay for later.

 

TRY IT:

Graph y = 3^( x )
Graph y = 3^( -x )
Graph y = ( 1 / 3 )^( x )
Graph y = ( 1 / 3 )^( -x )