The keypad on Sam’s cell phone is shown at right. As you can see, there is a relationship between the letters and numbers. When Sam writes a text message, he thinks of the letter in the word he is typing and presses the correct numbered key. 1. Complete this table to show the relation from letter to number Letter ABCDEFGHI Number 2 2 2 2. What is the domain of this relation? _ 3. What is the range of this relation? Z 4. Is the relation from letter to number a function? Explain using appropriate vocabulary _________ _ _ ___________________________ 5. If Sam writes the word “Hello,” what sequence of numbers does he press? _ After Sam presses the numbered keys, the microchip within his cell phone must decide what letters to show on the screen. Consider the relation from number to letter. 6. What is the domain of this relation?___ 7. What is the range of this relation? 8. Is the relation from number to letter a function? Explain using appropriate vocabulary _ _ _ _ 9. List the possible three-letter combinations the phone could show on the screen after Sam presses 3 6 4. _ ___________________________________ 10. Sam’s phone uses predictive text messaging, which means that it “guesses” what word she meant to type. Which three-letter word in problem 9 do you think the pho

Complete this table to show the relation from letter to number (see image attached)
From the table, the domain are X (number)= {2, 3, 4,5,6,7,8,9}
The range of this relation are Y (letters)= (A, b, c, d, e, f, g, h ...... z) or simply say {all the letters of the alphabets }
The relation from letter to number is not a function. This is because A relation is known to be a function only if it relates each element present in the domain to only one element in the range. As in the case above, it relates to more than one element in the range.
If Sam writes the word “Hello,” the sequence of numbers does he can press is 43556
The domain of this relation is {4,3,5,5,6}
The range is {H, e, l, l, o}
The relation from letter to number in the above (relating to question 5-7) is not a function. This is because A relation is known to be a function only if it relates each element present in the domain to only one element in the range. As in the case above, it relates to more than one element in the range.
The possible three-letter combinations the phone could show on the screen after Sam presses 3 6 4 are: {d, e, f, m, n, o, g, h, i }
Three-letter word in problem 9 that the phone can predict is {Dog, Fog, etc.}

The domain of a relation is simply known as the set of the first coordinates that is gotten from an ordered pairs.

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