Sketch the graph of a single function that satisfies all of the given conditions. (a) f'(-1) = f'(1) = 0, f'(x) < 0 if |æ| < 1, f'(x) > 0 if |2| > 1, f(-1) = 4, ƒ(1) = 0, f"(x) < 0 if æ < 0, f" (x) > 0 if x > 0. (b) f'(-1) = 0, f'(1) does not exist, f' (2) < 0 if |æ| < 1, f'(x) > 0 if |æ| > 1, f(-1) = 4, f(1) = 0, f"(x) < 0 if æ # 1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 59E
icon
Related questions
Question
Sketch the graph of a single function that satisfies all of the given conditions.
(a) f' (-1) = f'(1) = 0, f'(x) < 0 if |æ| < 1, f'(x) > 0
if |æ| > 1, f(-1) = 4, f (1) = 0, f"() < 0 if < 0,
f" (x) > 0 if x > 0.
(b) f'(-1) = 0, f'(1) does not exist,
f' (x) < 0 if |æ| < 1, f'(x) > 0 if |æ| >1,
f(-1) = 4, f(1) = 0, f"(x) < 0 if x 71.
Transcribed Image Text:Sketch the graph of a single function that satisfies all of the given conditions. (a) f' (-1) = f'(1) = 0, f'(x) < 0 if |æ| < 1, f'(x) > 0 if |æ| > 1, f(-1) = 4, f (1) = 0, f"() < 0 if < 0, f" (x) > 0 if x > 0. (b) f'(-1) = 0, f'(1) does not exist, f' (x) < 0 if |æ| < 1, f'(x) > 0 if |æ| >1, f(-1) = 4, f(1) = 0, f"(x) < 0 if x 71.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning