# Example 3 in many classes the overall percentage you

• 550
• 100% (1) 1 out of 1 people found this document helpful

Course Hero uses AI to attempt to automatically extract content from documents to surface to you and others so you can study better, e.g., in search results, to enrich docs, and more. This preview shows page 12 - 14 out of 550 pages.

Section 1.1 Functions and Function Notation3Rather than write “height is a function of age”, we could use the descriptive variablehtorepresent height and we could use the descriptive variableato represent age.“height is a function of age” if we name the functionfwe writehisfofaor more simplyh = f(a)we could instead name the functionhand writeh(a)which is read “hofaRemember we can use any variable to name the function; the notationh(a)shows us thathdepends ona.The value “a” must be put into the function “h” to get a result.Becareful - the parentheses indicate that age is input into the function (Note: do not confusethese parentheses with multiplication!).Function NotationThe notation output =f(input) defines a function namedf.This would be read “outputisfof input”Example 4Introduce function notation to represent a function that takes as input the name of amonth, and gives as output the number of days in that month.The number of days in a month is a function of the name of the month, so if we namethe functionf, we could write “days =f(month)” ord = f(m). If we simply name thefunctiond, we could writed(m)For example,d(March) = 31, since March has 31 days. The notationd(m)reminds usthat the number of days,d(the output) is dependent on the name of the month,m(theinput)Example 5A functionN = f(y)gives the number of police officers,N, in a town in yeary.Whatdoesf(2005) = 300 tell us?

Course Hero member to access this document

Course Hero member to access this document

End of preview. Want to read all 550 pages?

Course Hero member to access this document

Term
Fall
Professor
NoProfessor
Tags
Test, David Lippman