Let f'(x) = 5- 2x be the derivative of a continuous functionf. Fill in the blanks below. S is increasing for x E Σ 1. Σ 2. f is decreasing for x € 3. The local maxima of f occur at x = Σ The local minima of f occur at x = Σ 4. Σ 5. f is concave upward for xE 6. f is concave downward for x € Σ 7. The x-values of the point(s) of inflection of f occur(s) at x = Σ

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
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...
Question

Please solve all part, i will upvote,skip if u solve first 3

Let
f'(x) = 5 – 2x2
be the derivative of a continUous function f. Fill in the blanks below.
Σ
1.
fis increasing for x E
Σ
2.
S is decreasing for x €
3.
The local maxima of f occur at x =
Σ
The local minima of f occur at x =
Σ
4.
5.
f is concave upward for x E
Σ
6.
f is concave downward for x €
Σ
7. The x-values of the point(s) of inflection of f occur(s) at x =
Σ
Notes:
(a) In parts 1, 2, 5 and 6, your answer should either be a single interval, such as (0,1), a union of (non-overlapping) intervals, such as (-inf, 2) U (3,4), or the word 'n
(b) If, for example, f is increasing on (-inf, 2) andf is increasing on (3,4), then please leave your answer as (-inf,2) U (3,4) even if values of f may be lower in the s
is incorrect in this situation, but it is all that webwork understands.)
(c) In 1 and 2 the individual intervals should be the largest possible such intervals.
(d) In parts 3, 4 and 7, your answer should be a comma separated list of x values or the word "none".
Transcribed Image Text:Let f'(x) = 5 – 2x2 be the derivative of a continUous function f. Fill in the blanks below. Σ 1. fis increasing for x E Σ 2. S is decreasing for x € 3. The local maxima of f occur at x = Σ The local minima of f occur at x = Σ 4. 5. f is concave upward for x E Σ 6. f is concave downward for x € Σ 7. The x-values of the point(s) of inflection of f occur(s) at x = Σ Notes: (a) In parts 1, 2, 5 and 6, your answer should either be a single interval, such as (0,1), a union of (non-overlapping) intervals, such as (-inf, 2) U (3,4), or the word 'n (b) If, for example, f is increasing on (-inf, 2) andf is increasing on (3,4), then please leave your answer as (-inf,2) U (3,4) even if values of f may be lower in the s is incorrect in this situation, but it is all that webwork understands.) (c) In 1 and 2 the individual intervals should be the largest possible such intervals. (d) In parts 3, 4 and 7, your answer should be a comma separated list of x values or the word "none".
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