2. a. Figure 1 shows a graph of the first derivative f' for a function f. yA y = f'(.x) 3 Figure 1. Fist derivative of function f. Based on the Figure 1, i. On what intervals is f increasing? Explain. ii. At what values of x does f have a local maximum or minimum? Explain. MN3013: Beginning Calculus 3 iii. On what intervals is f concave upward or concave downward? Explain. 41

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter1: Functions
Section1.2: Functions Given By Tables
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2. а.
Figure 1 shows a graph of the first derivative f' for a function f
y = f'(x)
7.
Figure 1. Fist derivative of function f.
Based on the Figure 1,
i.
On what intervals is f increasing? Explain.
ii.
At what values of x doesf have a local maximum or minimum?
Explain.
SMN3013: Beginning Calculus
3
ii.
On what intervals is f concave upward or concave downward?
Explain.
iv.
What are the x-coordinates of the inflection points of f ? Why?
Transcribed Image Text:2. а. Figure 1 shows a graph of the first derivative f' for a function f y = f'(x) 7. Figure 1. Fist derivative of function f. Based on the Figure 1, i. On what intervals is f increasing? Explain. ii. At what values of x doesf have a local maximum or minimum? Explain. SMN3013: Beginning Calculus 3 ii. On what intervals is f concave upward or concave downward? Explain. iv. What are the x-coordinates of the inflection points of f ? Why?
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