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Rational Functions - More on Limits

Here's another one:

f( x ) = ( 3x^2 - x - 2 ) / ( x^2 + 2x - 8 )


graph of f( x ) = ( 3x^2 - x - 2 ) / ( x^2 + 2x - 8 ) ... as x approaches -4 from the left , f( x ) goes toward infinity ... as x approaches -4 from the right , f( x ) goes toward -infinity ... as x approaches 2 from the right, f( x ) goes toward infinity ... as x approaches 2 from the left , f( x ) goes toward -infinity

 

YOUR TURN:

Label all limits on the graphs:

f( x ) = ( x^2 - 9 ) / ( 2x^2 - 7x - 4 )

 

f( x ) = ( x^2 - 1 ) / ( 4 - x^2 )