Sketch the graph of a function that satisfies all of the given conditions. vertical asymptote x - 0, f'(x) > 0 if x < -3, f'(x) < 0 if x > -3 (x + 0), f"(x) < 0 if x < 0, f"(x) > 0 if x > 0 y y 20 20 20 20 10 10 10 10 -4 -2 -4 -2 2 4 -2 2 4 10 -10 -10 -10 20 -20 20 -20
Sketch the graph of a function that satisfies all of the given conditions. vertical asymptote x - 0, f'(x) > 0 if x < -3, f'(x) < 0 if x > -3 (x + 0), f"(x) < 0 if x < 0, f"(x) > 0 if x > 0 y y 20 20 20 20 10 10 10 10 -4 -2 -4 -2 2 4 -2 2 4 10 -10 -10 -10 20 -20 20 -20
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Transcribed Image Text:Sketch the graph of a function that satisfies all of the given conditions.
vertical asymptote x = 0,
f'(x) > 0 if x < -3,
f'(x) < 0 if x > -3 (x ± 0),
f"(x) < O if x < 0,
f"(x) > 0 if x > 0
y
20
20
20
10
10
10
10
-4
-2
4
-4
-2
2
4
-4
-2
4
-4
-2
2
4
- 10
-10
- 10
- 10
20
- 20
20
- 20
(i)
2.
20
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