2. Consider the following table, which also appeared in your Week 2 tutorial notes, of the top 20 most-streamed songs on Spotify as of 10 January 2022. Some questions about the table appear on the next page. 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 "Senorita' 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 X 1.915 "God's Plan" Drake Scorpio 1.869 "Lucid Dreams" Juice Wrid Goodbye and Good Riddance 1.849 "Photograph Ed Sheeran x 1.770 "Don't Start Now" Dua Lipa Future Nostalgia 1.758 "Sad!" XXXTentacion ? 1.743 "Starboy" The Weeknd Starboy 1.731(a) 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 So?\" has 32 characters (check this yourself). Similarly. f('Shape of You') = 1. Is 1' 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\" does. (b) 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, 9(10) = \"Bad Guy\