✓ Got It?

5. 1. If you have 7 qt of paint, what domain and range are reasonable for Problem 5?
   2. Reasoning Why does it not make sense to have domain values less than 0 or greater than 3 in Problem 5?

✓ Lesson Check

Do you know HOW?

1. Identify the domain and range of the relation { ( − 2 , 3 ) , ( − 1 , 4 ) , ( 0 , 5 ) , ( 1 , 6 ) } . left brace open negative 2 comma 3 close comma open negative 1 comma 4 close comma open 0 comma 5 close comma open 1 comma 6 close right brace .  Represent the relation with a mapping diagram. Is the relation a function?

2. Is the relation in the graph shown below a function? Use the vertical line test.

   

3. What is f(2) for the function f ( x ) = 4 x + 1 ? f open x close equals 4 x plus 1 question mark
4. The domain of f ( x ) = 1 2 x f open x close equals , 1 half , x  is { − 4 , − 2 , 0 , 2 , 4 } . left brace negative 4 comma negative 2 comma 0 comma 2 comma 4 right brace .  What is the range?

Do you UNDERSTAND?

5. Vocabulary Write y = 2 x + 7 y equals 2 x plus 7  using function notation.
6. Compare and Contrast You can use a mapping diagram or the vertical line test to tell if a relation is a function. Which method do you prefer? Explain.

7. Error Analysis A student drew the dashed line on the graph shown and concluded that the graph represented a function. Is the student correct? Explain.