8.F.A.1 Tutor Intake -- Understanding Functions as Input-Output Rules

A rule that assigns to each input exactly one output.

A rule that must be written as an algebraic formula, like an equation with x and y.

A rule where every output value is different from every other output value.

A rule that only works for positive numbers.

Yes -- each input has exactly one output, even though the outputs repeat.

No -- a function's outputs must all be different from each other.

No -- if two inputs share an output, the rule is not consistent.

It cannot be determined without seeing a graph.

Because if a vertical line crosses the graph at two points, that input has two different outputs, which violates the function definition.

Because a vertical line is itself a function, so comparing to it makes sense.

Because the vertical line test only applies to straight-line graphs.

Because the vertical line test measures the steepness of the graph.

{(1, 3), (2, 6), (3, 9), (4, 6)}

{(1, 3), (1, 8), (2, 6), (3, 9)}

{(2, 5), (2, 7), (4, 5), (5, 5)}

{(0, 0), (0, 4), (1, 4), (2, 4)}