1. The graph of the derivative of f is shown below. Assume that the domain of f is all real numbers and that it is a continuous function. You will receive +1% for each correct answer given below. -4 -1 a. Over what interval(s) is the function f increasing? Write your answer in interval notation. b. Over what interval(s) is the function f decreasing? Write your answer in interval notation. c. At what value(s) of x do local maxima occur (if any)?
1. The graph of the derivative of f is shown below. Assume that the domain of f is all real numbers and that it is a continuous function. You will receive +1% for each correct answer given below. -4 -1 a. Over what interval(s) is the function f increasing? Write your answer in interval notation. b. Over what interval(s) is the function f decreasing? Write your answer in interval notation. c. At what value(s) of x do local maxima occur (if any)?
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...
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Transcribed Image Text:1. The graph of the derivative of f is shown below. Assume that the domain of fis all real
numbers and that it is a continuous function. You will receive +1% for each correct
answer given below.
+
-5
-4 -3
-2
-1
1
3
4
a. Over what interval(s) is the function fincreasing? Write your answer in interval
notation.
b. Over what interval(s) is the function f decreasing? Write your answer in interval
notation.
c. At what value(s) of x do local maxima occur (if any)?
d. At what value(s) of x do local minima occur (if any)?
e. Over what intervals is the function f concave up?
f. Over what intervals is the function f concave down?
g. At what value(s) of x do points of inflection occur?
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