f(0) =
3
What is the special name of f(0)? the x-intercept✔ the y-intercept
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?✔ n, the number of necklaces$6, the shipping costc, the total cost (in dollars)
What is the dependent (output) variable?n, the number of necklaces$6, the shipping cost✔ c, the total cost (in dollars)
What is the domain? n>=0✔ n=0, 1, 2, 3,...all real numbers
Which equation expresses the order’s total cost, c, as a function of the number of necklaces, n?n(c)=7c + 6n(c)=7c - 6✔ c(n)=7n + 6c(n)=7n - 6
Which expression means “the total cost, including shipping, of 5 necklaces”? n(5)✔ c(5)c(5)+6
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.
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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