Back to Understand graphs of equations — Problem 2 · Task Set 49

HSA.REI.D.10 Tutor Intake — Graphs of Equations

This short check helps your tutor understand where to start. Answer each question without help. If you are not sure, give your best try — the goal is to find what to work on together, not to grade you.

Grade 9·7 problems·~10 min·Common Core Math - HS Algebra·standard·hsa-rei-d-10

Work through problems with immediate feedback

Concepts

A student plots 5 points that satisfy $y = x^2$ and draws a curve through
them. A classmate says: "The points between the plotted points are not
really on the graph — only the plotted points are."

Is the classmate correct?

Yes — only plotted points are on the graph; the curve is just for show.

No — every point on the drawn curve that satisfies $y = x^2$ is on
the graph, including all points between the plotted ones.

Yes — you need to verify each additional point with the equation
before it counts as part of the graph.

It depends on whether $y = x^2$ is a continuous function.