❮
1
/
2
❯
© Copyright NewPath Learning. All Rights Reserved. 93-4710 www.newpathlearning.com • A function is a rule that is performed on a number, called an input, to produce a result called an output. • There are two types of functions: linear and nonlinear. • Linear functions can be represented by straight lines on a coordinate plane. A linear function has an equation that can be written in the form of y = m x + b. • Equations whose graphs are not straight lines are called nonlinear functions. Nonlinear Functions Set Theory • A set is a collection of individual objects. • Set theory helps us organize things into groups and to understand logic. Subset Definition Notation Example Venn Diagram Set A is a subset of set B if all the elements of set A are in set B. A B A B A B A = {apple, orange} B = {apple, orange, pear, banana} A B All the elements of A are in B. Intersection Definition Notation Example Venn Diagram The intersection of sets A and B consists of only elements which belong to both sets A and B. A B A = {apple, orange, plum} B = {pear, banana, apple} A B = {apple} Apple is the only fruit in both sets. The union of sets A and B consists of all elements which belong to either set A or set B. A ∪ B A = {apple, orange, plum} B = {pear, banana, apple} A ∪ B = {apple, orange, plum, pear, banana} All the elements in both sets are included. As a round balloon gets inflated, its radius changes and its volume increases. Radius (in.) Volume (in 3 ) 1 2 3 4 5 6 4.19 33.52 113.13 268.16 523.75 904.32 0 1 2 3 4 5 6 7 8 9 10 Radius (in.) V olume (in 3 ) 0 100 200 300 400 500 600 700 800 900 1,000 Sample Graphs of Nonlinear Functions A B Union Definition Notation Example Venn Diagram 4 4 3 3 2 2 1 1 -1 -1 -2 -2 -3 -3 -4 -4 0 4 4 3 3 2 2 1 1 -1 -1 -2 -2 -3 -3 -4 -4 0 Nonlinear Functions & Set Theory
© Copyright NewPath Learning. All Rights Reserved. 93-4710 www.newpathlearning.com • A function is • There are two types of functions: and . • Linear functions can be represented by . A linear function has an equation that can be written in the form of . • Equations whose graphs are not straight lines are called . Nonlinear Functions Set Theory • A set is Subset Definition Notation Example Venn Diagram Intersection Definition Notation Example Venn Diagram As a round balloon gets inflated, its radius changes and its volume increases. Radius (in.) Volume (in 3 ) 1 2 3 4 5 6 4.19 33.52 113.13 268.16 523.75 904.32 0 1 2 3 4 5 6 7 8 9 10 Radius (in.) V olume (in 3 ) 0 100 200 300 400 500 600 700 800 900 1,000 Draw a Sample Graph of a Nonlinear Functions Union Definition Notation Example Venn Diagram 4 4 3 3 2 2 1 1 -1 -1 -2 -2 -3 -3 -4 -4 0 Key Vocabulary Terms • coordinate plane • equation • function • input • intersection • linear function • nonlinear function • output • set • set theory • subset • union . . . . . . • Set theory helps us Nonlinear Functions & Set Theory \|xiBAHBDy01676sz\
NewPath Learning
About Us Our Team Awards & Endorsements Grants & Funding Product Suggestions Custom Publishing Collaborate Online Our BlogSolutions
Review & Reinforcement Intervention & Enrichment Test Prep After School/Summer School Parental Involvement Professional DevelopmentShop By Product
Curriculum Mastery Games Flip Charts Visual Learning Guides Curriculum Learning Modules E-Books/Workbooks Posters & Charts Study/Vocabulary Cards Digital Curriculum Online Learning Online Printable WorksheetsShop By Grade
Early Childhood First Grade Second Grade Third Grade Fourth Grade Fifth Grade Sixth Grade Seventh Grade Eighth Grade High School © 2021 NewPath Learning all right reserved | Privacy Statements | Term of use | Website design WinMix Soft
