go back to unit 2 page  writing up end behavior  getting end behavior from equation (Leading Coefficient Test)
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Writing up end behavior
End Behavior: The left side always starts with "as x→∞", then look at your graph. If the end heads down, add "y→∞ ". If the end heads up, add "y→∞". The right side always starts with "as x→∞", then look at your graph. If the end heads down, add "y→∞ ".If the end heads up, add "y→∞".
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Identifying end behavior from an equation
Words to know:
even degree: The largest exponent the equation has when it is written in standard form is an even number.
odd degree: The largest exponent the equation has when it is written in standard form is an odd number.
Lead coefficient: The coefficient of the term that has the largest exponent when the equation is written in standard form.
Equation Characteristics 
Example of Equation 
End Behavior 
Even degree, positive lead coefficient 
f(x)=2x^{6} – 3x^{3} – 2x + 7

both ends rise 
Even degree, negative lead coefficient 
f(x)=3x^{6} – 3x^{3} +x  4 
both ends fall 
Odd degree, positive lead coefficient 
f(x)=2x^{5} – 2x^{2} + 1 
left side falls,right side rises 
Odd degree, negative lead coefficient 
f(x)=9x^{3} – 4x^{2} – 5x 
left side rises, right side falls 