Which of the following best defines an input? (4 points)
An input is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.
An input is a special type of relation for which there is a rule that pairs each input with exactly one output.
An input is a set of ordered pairs in which no y-value repeats.
An input is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.
2.
(04.01)
Which point could be removed in order to make the relation a function? (4 points)
{(−4, 3), (−5, 6), (1, 0), (−4, 5), (9, 5), (0, −7)}
(−5, 6)
(1, 0)
(−4, 5)
(9, 5)
3.
(04.01)
The graph of a function is shown:
scatterplot of the following points: negative 2 and 5, negative 1 and 1, 2 and negative 2, and 5 and 2
Which of the following correctly identifies the set of outputs? (4 points)
{(5, −2), (1, −1), (−2, 2), (2, 5)}
{(−2, 5), (−1, 1), (2, −2), (5, 2)}
{−2, −1, 2, 5}
{−2, 1, 2, 5}
4.
(04.01)
Given the relation y = 3x2 + 1, if the input is 4, what is the output? (4 points)
13
48
49
145
5.
(04.01)
Consider the following scenario describing the residents of Charlestown: The list pairs resident's ages with their zip codes.
Does this scenario represent a function? (4 points)
No, because people who are the same age can have different zip codes
No, because people who have the same zip code can be different ages
Yes, because people who are the same age can have different zip codes
Yes, because people who have the same zip code can be different ages
An input is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.
The point that could be removed in order to make the relation a function is (−4, 5).
The set of outputs for the given graph is {−2, 1, 2, 5}.
If the input is 4, the output for the given relation y = 3x^2 + 1 is 49.
The scenario representing the residents of Charlestown does not represent a function because people who have the same zip code can be different ages.