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.
Domain: The set of all states Range: The set of all senators (Remember, each state has two senators!)
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.
A function has exactly one y-value for each x-value. If a vertical line intersects a graph more than once, that x-value has multiple y-values, 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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