Let f be the relation which takes as input a song title from the list, and which outputs the number of characters in the name of the album on which it appears (as listed on the table), excluding spaces. For example, f("Bad Guy") 32 characters (check this yourself). Similarly, f("Shape of You") = 1. 32 since the album title "When We All Fall Asleep, Where Do We Go?" has Is f a function? If so, is it one-to-one? Explain your answers. If it's one-to-one, explain in words (with some examples) what f-1 does.

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
ChapterA: Appendices
SectionA.1: Algebraic Expressions
Problem 1E: Name the four parts of a mathematical system. HINT: See Section 1.3
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Consider the following table. 

Let f be the relation which takes as input a song title from the list, and which outputs the number of
characters in the name of the album on which it appears (as listed on the table), excluding spaces.
For example, f("Bad Guy") = 32 since the album title "When We All Fall Asleep, Where Do We Go?" has
32 characters (check this yourself). Similarly, f("Shape of You") = 1.
Is f a function? If so, is it one-to-one? Explain your answers.
If it's one-to-one, explain in words (with some examples) what f-1 does.
Transcribed Image Text:Let f be the relation which takes as input a song title from the list, and which outputs the number of characters in the name of the album on which it appears (as listed on the table), excluding spaces. For example, f("Bad Guy") = 32 since the album title "When We All Fall Asleep, Where Do We Go?" has 32 characters (check this yourself). Similarly, f("Shape of You") = 1. Is f a function? If so, is it one-to-one? Explain your answers. If it's one-to-one, explain in words (with some examples) what f-1 does.
Song
Performer
Album
Streams (billions)
"Shape of You"
Ed Sheeran
3.017
"Blinding Lights"
The Weeknd
After Hours
2.732
"Dance Monkey"
Tones and I
Welcome to the Madhouse
2.454
"Rockstar"
Post Malone
Beerbongs and Bentleys
2.332
"Someone You Loved"
Lewis Capaldi
Divinely Uninspired to a Hellish Extent
2.216
"One Dance"
Drake
Views
2.202
"Closer"
The Chainsmokers Collage
2.184
"Sunflower"
Post Malone
Hollywood's Bleeding
2.151
"Señorita"
Camila Cabello
Romance
2.034
"Bad Guy"
Billie Eilish
When We All Fall Asleep, Where Do We Go?
1.960
"Believer"
Imagine Dragons
Evolve
1.946
"Perfect"
Ed Sheeran
1.943
"Say You Won't Let Go"
James Arthur
Back from the Edge
1.920
"Thinking Out Loud"
Ed Sheeran
1.915
"God's Plan"
Drake
Scorpio
1.869
"Lucid Dreams"
Juice Wrld
Goodbye and Good Riddance
1.849
"Photograph
Ed Sheeran
1.770
"Don't Start Now"
Dua Lipa
Future Nostalgia
1.758
"Sad!"
XXXTentacion
1.743
"Starboy"
The Weeknd
Starboy
1.731
Transcribed Image Text:Song Performer Album Streams (billions) "Shape of You" Ed Sheeran 3.017 "Blinding Lights" The Weeknd After Hours 2.732 "Dance Monkey" Tones and I Welcome to the Madhouse 2.454 "Rockstar" Post Malone Beerbongs and Bentleys 2.332 "Someone You Loved" Lewis Capaldi Divinely Uninspired to a Hellish Extent 2.216 "One Dance" Drake Views 2.202 "Closer" The Chainsmokers Collage 2.184 "Sunflower" Post Malone Hollywood's Bleeding 2.151 "Señorita" Camila Cabello Romance 2.034 "Bad Guy" Billie Eilish When We All Fall Asleep, Where Do We Go? 1.960 "Believer" Imagine Dragons Evolve 1.946 "Perfect" Ed Sheeran 1.943 "Say You Won't Let Go" James Arthur Back from the Edge 1.920 "Thinking Out Loud" Ed Sheeran 1.915 "God's Plan" Drake Scorpio 1.869 "Lucid Dreams" Juice Wrld Goodbye and Good Riddance 1.849 "Photograph Ed Sheeran 1.770 "Don't Start Now" Dua Lipa Future Nostalgia 1.758 "Sad!" XXXTentacion 1.743 "Starboy" The Weeknd Starboy 1.731
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