sketch a graph
TRANSCRIPT
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