Back to Understand that a function is a rule that assigns to each input exactly one output — Problem 3 · Task Set 43

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

This short check helps your tutor see where to start. Work each problem on
your own, without a calculator. If you are not sure, give your best try —
every answer helps your tutor plan your first few sessions.

Grade 8·7 problems·~8 min·Common Core Math - Grade 8·container·8-f-a-1

Work through problems with immediate feedback

Concepts

Why does the vertical line test correctly identify whether a graph
represents a function?

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.