Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 14TI: The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14...
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Let f (x) be continuous function on the interval (−3,3)
whose first derivative has the following signs and values given in the table below:
![22.
DETAILS
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ASK YOUR TEACHER
Let f(x) be continuous function on the interval (-3,3) whose first derivative has the following signs and values given in the table below:
-3 <x < -2
positive
-2 < x < 0 | 0|0 < x < 1 | 1 |1< x < 3
-2
f(x)
positive
negative
positive
Identify the x -coordinates of ALL relative minima and maxima of f(x) on (-3,3).
O A. Relative maximum at x = 0; Relative minimum at x = 1
O B. Relative maximum at x = -2 AND x=0; Relative minimum at x = 1
o C. Relative maximum at x = O AND x=1; Relative minimum at x = -2
O D. There are no relative extrema on (-3,3)
o E. Relative maximum at x = 1; Relative minimum at x = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4ca6a9b-e4f7-4609-b584-c253f4eac26a%2Ff3917121-377c-419c-ab37-310f52d8de79%2F53501tg_processed.png&w=3840&q=75)
Transcribed Image Text:22.
DETAILS
MY NOTES
ASK YOUR TEACHER
Let f(x) be continuous function on the interval (-3,3) whose first derivative has the following signs and values given in the table below:
-3 <x < -2
positive
-2 < x < 0 | 0|0 < x < 1 | 1 |1< x < 3
-2
f(x)
positive
negative
positive
Identify the x -coordinates of ALL relative minima and maxima of f(x) on (-3,3).
O A. Relative maximum at x = 0; Relative minimum at x = 1
O B. Relative maximum at x = -2 AND x=0; Relative minimum at x = 1
o C. Relative maximum at x = O AND x=1; Relative minimum at x = -2
O D. There are no relative extrema on (-3,3)
o E. Relative maximum at x = 1; Relative minimum at x = 0
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