Solving Systems of Linear Equations: Graphing Answers
Check each graph below that represents a function
The graph above: one-to-one functionfunction (but not one-to-one) ✔ relation (but not a function)
The graph above: ✔ one-to-one functionfunction (but not one-to-one) relation (but not a function)
What is the independent (input) variable?
What is the dependent (output) variable?
What is the domain?
Which equation expresses the order’s total cost, c, as a function of the number of necklaces, n?
This relation is ✔ not a functiona function.
Explain why your relation is a function.
My relation is a function because each student is paired with only one age. No student appears with two different ages, so every domain element matches exactly one range element.
Create your own real-world example of a relation that is a function. Domain: The set of Range: The set of
Domain: the set of students in a class. Range: the set of heights of those students.
Which fact(s) did you include in your explanation?
Explain why a graph that fails the vertical-line test does not represent a function. Be sure to use the definition of function in your answer.
If a vertical line intersects a graph more than once, then the graph has more than one y-value for a given x-value. By definition, a function can have only one y-value for each x-value, so the graph does not represent a function.
Compare your response to the sample response above. What did your explanation include?
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