AP Calculus AB
8
08/27/22 Perkins AP Calculus AB Day 8 Section 3.6
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AP Calculus AB. Day 8 Section 3.6. VA at x = 2. Include intercepts, asymptotes, extrema, inflection points, and intervals of concavity. Sketch. Intervals:. Intercepts:. Test values:. f ’’(test pt). No x-int. f(x). f ’(test pt). f(x). rel min. No inf pts. rel max. Asymptotes:. - PowerPoint PPT Presentation
Transcript of AP Calculus AB
04/19/23 Perkins
AP Calculus AB
Day 8Section 3.6
Sketch 2 2 4
2
x xf x
x
crit #'s: 0,4,2x
VA at x = 2
Include intercepts, asymptotes, extrema, inflection points, and intervals of concavity.
2
2
2 2 2 2 4 1'
2
x x x xf x
x
2 2
2
2 6 4 2 4
2
x x x x
x
2
2
4
2
x x
x
2
4
2
x x
x
2 2
4
2 2 4 4 2 2 1''
2
x x x x xf x
x
2 2
4
2 2 2 4
2
x x x x
x
2 2
3
2 4 4 4
2
x x x x
x
3
2 4
2x
3
8
2x
crit #'s: 2x
2
4'
2
x xf x
x
Intervals: ,0 0,2 2,4 4,Test values: 1 1 3 5
f ’(test pt) f(x) inc dec dec inc
rel max rel min
0x 4x
4 6f 0 2f 0, 2 4,6
3
8''
2f x
x
f ’’(test pt) f(x) down down up up
No inf pts
2 2 4
2
x xf x
x
Asymptotes: 2 2 4lim
2x
x x
x
4
2
2lim
1x
xx
x
1 2 42
20 4 remainder1
0y xOblique Asymptote at
2 2 4 0x x Intercepts:
No x-int
4
2y
2y
VA at x = 2
10
5
-5
-10
-10 10
Perkins
AP Calculus AB
Day 8Section 3.6
Sketch 2 2 4
2
x xf x
x
Include intercepts, asymptotes, extrema, inflection points, and intervals of concavity.
Intervals:
Test values:
f ’(test pt)
f(x)
f ’’(test pt)
f(x)
Asymptotes:
Intercepts:
10
5
-5
-10
-10 10
