For this week's discussion, you are asked to generate a continuous and differentiable function f(z) with the following properties: f(z) is decreasing at =-6 f(z) has a local minimum at -3 f(z) has a local maximum at z = 3 . Your classmates may have different criteria for their functions, so in your initial post in Brightspace be sure to list the criteria for your function.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.1: Concept Of A Function
Problem 99PS
icon
Related questions
Question

Can someone explain how I get to this answer? I am not sure what I am doing. 

For this week's discussion, you are asked to generate a continuous and differentiable function f(z) with the following properties:
f(z) is decreasing at =-6
f(z) has a local minimum at z=-3
f(z) has a local maximum at = 3
Your classmates may have different criteria for their functions, so in your initial post in Brightspace be sure to list the criteria for your function.
Transcribed Image Text:For this week's discussion, you are asked to generate a continuous and differentiable function f(z) with the following properties: f(z) is decreasing at =-6 f(z) has a local minimum at z=-3 f(z) has a local maximum at = 3 Your classmates may have different criteria for their functions, so in your initial post in Brightspace be sure to list the criteria for your function.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax