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Answer the questions for the function f(x) = 3x - 24x a. Find formulas for f'(x) and f"(x). f'(x) = 12x - 72x2 f"(x) = 36x- 144x Enter f(x), f'(x), and f"(x) into your grapher to examine the table. b. Set f'(x) = 0 to find the critical numbers. One of the critical numbers of f(x) is x = 0 What is the other critical number? X= 6 What is true about f(x) at this positive critical number? Select the correct choice below and, if necessary, fill in the answer boxes within your choice, O A. The graph of f is concave down and f has a relative minimum at O B. The graph of f is concave down and f has a relative maximum at OC. The graph of f is concave up and f has a relative minimum at ( O D. The graph of f is concave up and f has a relative maximum at ( O E. No conclusion can be made.

Answer the questions for the function f(x) = 3x - 24x a. Find formulas for f'(x) and f"(x). f'(x) = 12x - 72x2 f"(x) = 36x- 144x Enter f(x), f'(x), and f"(x) into your grapher to examine the table. b. Set f'(x) = 0 to find the critical numbers. One of the critical numbers of f(x) is x = 0 What is the other critical number? X= 6 What is true about f(x) at this positive critical number? Select the correct choice below and, if necessary, fill in the answer boxes within your choice, O A. The graph of f is concave down and f has a relative minimum at O B. The graph of f is concave down and f has a relative maximum at OC. The graph of f is concave up and f has a relative minimum at ( O D. The graph of f is concave up and f has a relative maximum at ( O E. No conclusion can be made.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Answer the questions for the function f(x) = 3x – 24x3 a. Find formulas for f'(x) and f"(x). f'(x) = 12x° – 72x² f'(x) = 36x- 144x Enter f(x), f'(x), and f"(x) into your grapher to examine the table. b. Set f'(x) = 0 to find the critical numbers. One of the critical numbers of f(x) is x = 0 What is the other critical number? X= 6 What is true about f(x) at this positive critical number? Select the correct choice below and, if necessary, fill in the answer boxes within your choice, O A. The graph of f is concave down and f has a relative minimum at O B. The graph of f is concave down and f has a relative maximum at OC. The graph of f is concave up and f has a relative minimum at ( O D. The graph of f is concave up and f has a relative maximum at ( O E. No conclusion can be made.
Transcribed Image Text:Answer the questions for the function f(x) = 3x – 24x3 a. Find formulas for f'(x) and f"(x). f'(x) = 12x° – 72x² f'(x) = 36x- 144x Enter f(x), f'(x), and f"(x) into your grapher to examine the table. b. Set f'(x) = 0 to find the critical numbers. One of the critical numbers of f(x) is x = 0 What is the other critical number? X= 6 What is true about f(x) at this positive critical number? Select the correct choice below and, if necessary, fill in the answer boxes within your choice, O A. The graph of f is concave down and f has a relative minimum at O B. The graph of f is concave down and f has a relative maximum at OC. The graph of f is concave up and f has a relative minimum at ( O D. The graph of f is concave up and f has a relative maximum at ( O E. No conclusion can be made.
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