sobirov javokhir on Ministry of Higher and Secondary Education of the Republic of Uzbekistan Tashkent region Chirchik State Pedagogical Institute, Faculty of Tourism, student of Tourism

Example 6

• No two ordered pairs can have the same first coordinate
• (and different second coordinates).

• Which of the following relations are functions?
• R= {(9,10), (-5, -2), (2, -1), (3, -9)}
• S= {(6, a), (8, f), (6, b), (-2, p)}
• T= {(z, 7), (y, -5), (r, 7), (z, 0), (k, 0)}

Identify the Domain and Range. Then tell if the relation is a function.

• Input Output
• -3 3
• 1 1
• 3 -2
• 4

• Domain = {-3, 1,3,4}
• Range = {-2,1,3}

• Function?
• Yes: each input is mapped
• onto exactly one output

• Input Output
• -3 3
• 1 -2
• 4 1
• 4

• Identify the Domain and Range. Then tell if the relation is a function.

• Domain = {-3, 1,4}
• Range = {3,-2,1,4}

• Function?
• No: input 1 is mapped onto
• Both -2 & 1

• Notice the set notation!!!

• Is this a function?

• 1. {(2,5) , (3,8) , (4,6) , (7, 20)}

• 2. {(1,4) , (1,5) , (2,3) , (9, 28)}

• 3. {(1,0) , (4,0) , (9,0) , (21, 0)}