ake a number line to identify intervals by plotting the critical numbers obtained from problem#1 of the function f(t) = 2t3+3t2-12t+7. Choose a value of x or test point in every interval and substitute it to the first derivative. Identify the increasing and decreasing intervals

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Make a number line to identify intervals by plotting the critical numbers obtained from problem#1 of the function f(t) = 2t3+3t2-12t+7.

Choose a value of x or test point in every interval and substitute it to the first derivative. Identify the increasing and decreasing intervals.

Intervals Test points increasing/decreasing
(- 0 , ) Blank 1 Blank 2
t2) Blank 3 Blank 4
(12, 0) Blank 5 Blank 6
Transcribed Image Text:Intervals Test points increasing/decreasing (- 0 , ) Blank 1 Blank 2 t2) Blank 3 Blank 4 (12, 0) Blank 5 Blank 6
Make a number line to identify intervals by plotting the critical numbers obtained from problem#1 of the function
f(t) =213+ 312– 12t+7. Choose a value of x or test point in every interval and substitute it to the first derivative. Identify the
increasing and decreasing intervals.
f'(t)
...
+00
t1
t2
Note: Choose test points closest to t1 and t2; and whole number.
Intervals Test points increasing/decreasing
(- 0, ,) Blank 1 Blank 2
(t,, t,) Blank 3 Blank 4
00
Blank 5 Blank 6
Transcribed Image Text:Make a number line to identify intervals by plotting the critical numbers obtained from problem#1 of the function f(t) =213+ 312– 12t+7. Choose a value of x or test point in every interval and substitute it to the first derivative. Identify the increasing and decreasing intervals. f'(t) ... +00 t1 t2 Note: Choose test points closest to t1 and t2; and whole number. Intervals Test points increasing/decreasing (- 0, ,) Blank 1 Blank 2 (t,, t,) Blank 3 Blank 4 00 Blank 5 Blank 6
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