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. Let g be the relation which takes as input an integer between 1 and 20 (inclusive), and outputs the name of the song with that rank on the list. For example, g(10) = "Bad Guy", since the song "Bad Guy" appears 10th on the list. Is g a function? If it's a function, is it one-to-one? Explain your answers. -1 does. If it's one-to-one, explain in words (with some examples) what g
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. Let g be the relation which takes as input an integer between 1 and 20 (inclusive), and outputs the name of the song with that rank on the list. For example, g(10) = "Bad Guy", since the song "Bad Guy" appears 10th on the list. Is g a function? If it's a function, is it one-to-one? Explain your answers. -1 does. If it's one-to-one, explain in words (with some examples) what g
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Consider the following table.
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 fa 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.
Let g be the relation which takes as input an integer between l and 20 (inclusive), and outputs the name
of the song with that rank on the list.
For example, g(10) = "Bad Guy", since the song “Bad Guy" appears 10th on the list.
Is ga function? If it's a function, is it one-to-one? Explain your answers.
If it's one-to-one, explain in words (with some examples) what g does.
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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