A function, f (x), has derivatives: f'(x) = x² (x – 3) f"(x) = 3x(x – 2) Which of the following statements is/are true? (Select all that apply.) f has a local minimum at x=0. O fis concave upward on the interval (0,2) | None of other four statements are true. fis decreasing on the interval (0,3) f has an inflection point at x=2.

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
Chapter1: Functions
Section1.2: Functions Given By Tables
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A function, f (), has derivatives:
f' (x) = x² (x – 3)
%3D
f"(x) = 3x(x – 2)
Which of the following statements is/are true? (Select all that apply.)
f has a local minimum at x=0.
f is concave upward on the interval (0,2)
None of other four statements are true.
fis decreasing on the interval (0,3)
f has an inflection point at x=2.
Transcribed Image Text:A function, f (), has derivatives: f' (x) = x² (x – 3) %3D f"(x) = 3x(x – 2) Which of the following statements is/are true? (Select all that apply.) f has a local minimum at x=0. f is concave upward on the interval (0,2) None of other four statements are true. fis decreasing on the interval (0,3) f has an inflection point at x=2.
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