Homework Help is Here – Start Your Trial Now!
Math
Calculus
Imagine you are sketching a curve. You find the first derivative of your function; you find where it is positive, negative, and zero; and you make a "skeleton" sketching showing areas of increase and decrease. Since this is only the first step in your sketch, you aren't particularly careful about anything other than the sign of the first derivative (positive, negative, or zero). For each skeleton below, you will select the most fitting derivative. Each skeleton below matches a function f(x) whose derivative has the form where: • a is 1 or -1, ⚫n is 1 or 2, and • m is 1 or 2. f'(x) = a(x + 1)” (x − 1)™ This skeleton corresponds to a function f(x), whose derivative is x Ан -1 f'(x) = a(x + 1)(x − 1)m, with a = 1 , n = 2 and m = 2 X -1 1 This skeleton corresponds to a function f(x), whose derivative is f'(x) = a(x + 1)”(x − 1)™, with a = 1, n = 2 v, and m = 1 ✓ Consider the following graph of a derivative f': (a) At what x-values do the points of inflection of f occur? x = (Click on the graph to enlarge it) (Enter your answer as a value, or a comma-separated list of values, or NONE.) (b) On which interval(s) is f concave down? f is concave down for a in (Enter your answer using help (intervals).)

Imagine you are sketching a curve. You find the first derivative of your function; you find where it is positive, negative, and zero; and you make a "skeleton" sketching showing areas of increase and decrease. Since this is only the first step in your sketch, you aren't particularly careful about anything other than the sign of the first derivative (positive, negative, or zero). For each skeleton below, you will select the most fitting derivative. Each skeleton below matches a function f(x) whose derivative has the form where: • a is 1 or -1, ⚫n is 1 or 2, and • m is 1 or 2. f'(x) = a(x + 1)” (x − 1)™ This skeleton corresponds to a function f(x), whose derivative is x Ан -1 f'(x) = a(x + 1)(x − 1)m, with a = 1 , n = 2 and m = 2 X -1 1 This skeleton corresponds to a function f(x), whose derivative is f'(x) = a(x + 1)”(x − 1)™, with a = 1, n = 2 v, and m = 1 ✓ Consider the following graph of a derivative f': (a) At what x-values do the points of inflection of f occur? x = (Click on the graph to enlarge it) (Enter your answer as a value, or a comma-separated list of values, or NONE.) (b) On which interval(s) is f concave down? f is concave down for a in (Enter your answer using help (intervals).)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 43E
See similar textbooks
icon
Related questions
Question

solve it and give the right answer 

Imagine you are sketching a curve. You find the first derivative of your function; you find where it is positive, negative, and zero; and you make a "skeleton" sketching showing areas of increase and decrease. Since this is only the first step in your sketch, you aren't particularly careful about anything other than the sign of the first derivative (positive, negative, or zero). For each skeleton below, you will select the most fitting derivative. Each skeleton below matches a function f(x) whose derivative has the form where: • a is 1 or -1, ⚫n is 1 or 2, and • m is 1 or 2. f'(x) = a(x + 1)” (x − 1)™ This skeleton corresponds to a function f(x), whose derivative is x Ан -1 f'(x) = a(x + 1)(x − 1)m, with a = 1 , n = 2 and m = 2 X -1 1 This skeleton corresponds to a function f(x), whose derivative is f'(x) = a(x + 1)”(x − 1)™, with a = 1, n = 2 v, and m = 1 ✓
Transcribed Image Text:Imagine you are sketching a curve. You find the first derivative of your function; you find where it is positive, negative, and zero; and you make a "skeleton" sketching showing areas of increase and decrease. Since this is only the first step in your sketch, you aren't particularly careful about anything other than the sign of the first derivative (positive, negative, or zero). For each skeleton below, you will select the most fitting derivative. Each skeleton below matches a function f(x) whose derivative has the form where: • a is 1 or -1, ⚫n is 1 or 2, and • m is 1 or 2. f'(x) = a(x + 1)” (x − 1)™ This skeleton corresponds to a function f(x), whose derivative is x Ан -1 f'(x) = a(x + 1)(x − 1)m, with a = 1 , n = 2 and m = 2 X -1 1 This skeleton corresponds to a function f(x), whose derivative is f'(x) = a(x + 1)”(x − 1)™, with a = 1, n = 2 v, and m = 1 ✓
Consider the following graph of a derivative f': (a) At what x-values do the points of inflection of f occur? x = (Click on the graph to enlarge it) (Enter your answer as a value, or a comma-separated list of values, or NONE.) (b) On which interval(s) is f concave down? f is concave down for a in (Enter your answer using help (intervals).)
Transcribed Image Text:Consider the following graph of a derivative f': (a) At what x-values do the points of inflection of f occur? x = (Click on the graph to enlarge it) (Enter your answer as a value, or a comma-separated list of values, or NONE.) (b) On which interval(s) is f concave down? f is concave down for a in (Enter your answer using help (intervals).)
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
SEE MORE TEXTBOOKS