UCR - MATH 006B - Class Notes - Week 1

View Full Material##### School: University of California Riverside

##### Department: Applied Mathematics

##### Course: Introduction to Function

##### Professor: Karl Schmidt

##### Term: Winter 2019

##### Tags: Math6B

##### Name: 5.2 Concavity Practice Session

##### Description: Concavity and Average Rate of Change

##### Uploaded: 01/10/2019

**48**Pages

**30**Views

**24**Unlocks

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##### School: University of California Riverside

##### Department: Applied Mathematics

##### Course: Introduction to Function

##### Professor: Karl Schmidt

##### Term: Winter 2019

##### Tags: Math6B

##### Name: 5.2 Concavity Practice Session

##### Description: Concavity and Average Rate of Change

##### Uploaded: 01/10/2019

**48**Pages

**30**Views

**24**Unlocks

- Better Grades Guarantee
- 24/7 Homework help
- Notes, Study Guides, Flashcards + More!

Unformatted text preview: 352 Jano 5.2 Concavityp Avg. rate of change ESO w yo nat is concavity numerically? D o f(x) is concave up on interval (a,b) if for fixed the area of f(x) on an interval Def changed in increases Increased as clas small as you want le: this must be trve for arbitrarily small x (x)? w +991 41 / the aroc increased with x aix) PVAR1018) concave up * concave up is also a positive concauity or convex concave down neg. concavily or concave. Why do we need this note? Om large would -AROC decreased miss Dome So concave down - concowe up * concavity viivally? concave up on interval (a,b) (30 for a LXnb it f(x) Def. f(x) is curves upwardon (a,b) g (x) = ( * 1 i(x) = -( concave f(x) = 21 down- h(x) = 2 concave up Kahoot! 2) value of x decreasing! -7 to -3? False 3.) f(x)16* concave up 5. 4.) g\x) 1091014) Concave down352 Jano 5.2 Concavityp Avg. rate of change ESO w yo nat is concavity numerically? D o f(x) is concave up on interval (a,b) if for fixed the area of f(x) on an interval Def changed in increases Increased as clas small as you want le: this must be trve for arbitrarily small x (x)? w +991 41 / the aroc increased with x aix) PVAR1018) concave up * concave up is also a positive concauity or convex concave down neg. concavily or concave. Why do we need this note? Om large would -AROC decreased miss Dome So concave down - concowe up * concavity viivally? concave up on interval (a,b) (30 for a LXnb it f(x) Def. f(x) is curves upwardon (a,b) g (x) = ( * 1 i(x) = -( concave f(x) = 21 down- h(x) = 2 concave up Kahoot! 2) value of x decreasing! -7 to -3? False 3.) f(x)16* concave up 5. 4.) g\x) 1091014) Concave down

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