12

2)(

2

x

xxf

Horizontal Asymptotes and Extrema

•Find the x and y intercepts.

•Find the values of the horizontal asymptotes.

•Find the maximum value of the function.

•Sketch the graph of the function

Finding the Intercepts

12

2)(

2

x

xxf

Finding the Asymptotes

12

2)(

2

x

xxf

Finding the Maximum

?)(' ,12

2)(

2

xf

x

xxf

12

1

122

)2(4)('

232

xx

xxxf

12

1

122

)2(40

232

xx

xx

2

1.5

1

0.5

-0.5

-10 -8 -6 -4 -2 2 4 6 8 10 12

The Graph