Question

1-1 Relations and Functions The following list details the numbers of tickets sold for a talent show: grade 9: 22; grade 10: 32; grade 11: 41; and grade 12: 30. What are the domain and range of this relation? A. domain: {22, 32, 41, 30}; range: {9, 10, 11, 12} B. domain: {9, 22, 10, 32}; range: {11, 41, 12, 30} C. domain: {9, 10, 11, 12}; range: {22, 32, 41, 30} D. domain: {11, 41, 12, 30}; range: {9, 22, 10, 32}

Answer 1

`Domain = \{9, 10, 11, 12\}`

`Range = \{22, 32, 41, 30\}`

Explanation:

Given

Grade 9: 22

Grade 10: 32

Grade 11: 41

Grade 12: 30

Required

Determine the domain and the range

The domain and range of a function is represented as thus (x,y)

From the given parameters;

`(x,y) = (Grade\ 9, 22), (Grade\ 10, 32) (Grade\ 11, 41), (Grade\ 12, 30)`

Remove "Grade" to represent as only digits

`(x,y) = (9, 22), (10, 32), (11, 41), (12, 30)`

Split to x and y values:

Where x = domain and y = range

`Domain = \{9, 10, 11, 12\}`

`Range = \{22, 32, 41, 30\}`

So, from the list of given options; option C answers the question.