Question

A teacher polled her elementary school class to see what each student's favorite food was:

Pizza 5
Pasta 7
Cheeseburgers 3
Peanut Butter 2
Chicken 1
Hot dogs 5

Does the relation's inverse represent a function? Why or why not?

Answer 1

@jim_thompson5910 can you help me pls????

Answer 2

how far did you get

Answer 3

well i was thinking that the inverse represents a function but im not for sure

Answer 4

first off, is this relation a function

Answer 5

how would you determine that

Answer 6

if there is one input that produces more than one output, then it's not a function

Answer 7

use that bit of info to determine if it's a function or not

Answer 8

@jim_thompson5910 not a input? im confused

Answer 9

think about it like this: if you input the word "pizza" into the relation, you get the number 5 as the output

this happens for every food item

is there a case where you get more than one output?

Answer 10

yes

Answer 11

?

Answer 12

where do you see more than one output

Answer 13

hotdogs and pizza

Answer 14

but is there a case where inputting "hotdogs" gives you more than one number as an output (ignore pizza for now)