2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and x = 2 and a relative maximum at x = -1.5 and a relative minimum at x = 1.5. Which of the following statement is false? (-1.5, 13.1) -3.2 -2.4 -1.6 -0.8 -3 +13 -11 -9 All of these are false. -7 to -3 -1 f is concave up from x = -1.5 to x = 1.5. f has an inflection point at x = 1.5. Of has a relative minimum at x = 2. 1,6 2,4 3,2 (1.5, -1.1)
2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and x = 2 and a relative maximum at x = -1.5 and a relative minimum at x = 1.5. Which of the following statement is false? (-1.5, 13.1) -3.2 -2.4 -1.6 -0.8 -3 +13 -11 -9 All of these are false. -7 to -3 -1 f is concave up from x = -1.5 to x = 1.5. f has an inflection point at x = 1.5. Of has a relative minimum at x = 2. 1,6 2,4 3,2 (1.5, -1.1)
2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and x = 2 and a relative maximum at x = -1.5 and a relative minimum at x = 1.5. Which of the following statement is false? (-1.5, 13.1) -3.2 -2.4 -1.6 -0.8 -3 +13 -11 -9 All of these are false. -7 to -3 -1 f is concave up from x = -1.5 to x = 1.5. f has an inflection point at x = 1.5. Of has a relative minimum at x = 2. 1,6 2,4 3,2 (1.5, -1.1)
I asked this question and received an answer that can be found at this URL: https://www.bartleby.com/questions-and-answers/2.-below-is-the-graph-of-f-x-the-derivative-of-fx-and-has-x-intercepts-at-x-3-x-1-and-x-2-and-a-rela/306632dd-f10a-44e1-b6c4-84de9cffab7a.
I was confused by the answer which said local minimum at 2 but gave the answer as A.
Transcribed Image Text:2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and x = 2 and a relative maximum at x = -1.5 and a relative minimum at x = 1.5. Which of the
following statement is false?
(-1.5, 13.1)
-3.2 -2.4 -1.6 -8.8
-3
+13
-11
-9
All of these are false.
-7
-5
---3-
1
--1
f is concave up from x = -1.5 to x = 1.5.
f has an inflection point at x = 1.5.
f has a relative minimum at x = 2.
8.8
1
1,6 2,4 3.2
(1.5, -1.1)
Formula Formula A function f ( x ) is also said to have attained a local minimum at x = a , if there exists a neighborhood ( a − δ , a + δ ) of a such that, f ( x ) > f ( a ) , ∀ x ∈ ( a − δ , a + δ ) , x ≠ a f ( x ) − f ( a ) > 0 , ∀ x ∈ ( a − δ , a + δ ) , x ≠ a In such a case f ( a ) is called the local minimum value of f ( x ) at x = a .
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