A student uses the graph of y = x³ − 3x to estimate solutions of x³ − 3x − 2 = 0. Which additional graph should be drawn?

Q: How do I try a free CXC Mathematics question?

Just tap any of the four options on this page — no signup, no card, nothing to install. You'll see the correct answer and a full mark-scheme-style explanation within a second. Each visit shows a fresh randomly-picked question from the live CXC CSEC Mathematics bank, so you can keep refreshing to try different ones before deciding whether to create a free account for daily access.

Q: Is Kramizo really free for CXC Mathematics students?

Yes — completely free. Every student gets 45 questions a day on the free plan, across any board and any subject, with no card required and no trial countdown. Kramizo's optional Pro plan removes the daily cap and adds analytics, but the free plan is genuinely free forever. We make money from the small percentage of students who choose to upgrade — not from selling data or ads.

Q: Are the Mathematics questions aligned to the CXC CSEC syllabus?

Every question is written against the published CXC CSEC Mathematics syllabus and reviewed for accuracy before being added to the bank. We match the command words (state, describe, explain, evaluate), mark allocations, and difficulty tier you'll see on real CXC past papers. Explanations are written in the style of official examiner mark schemes so students learn exactly what marks are being awarded for.

Question

A student uses the graph of y = x³ − 3x to estimate solutions of x³ − 3x − 2 = 0. Which additional graph should be drawn?

Accepted Answer

y = 2 — Rearranging x³ − 3x − 2 = 0 gives x³ − 3x = 2. Since the graph of y = x³ − 3x is already drawn, the second graph needed is the horizontal line y = 2. Their intersection x-coordinates solve the equation. Option B uses y = −2, applying the wrong sign. Options C and D introduce linear graphs unrelated to this rearrangement.

Answer

y = 2

Answer

y = −2

Answer

y = x − 2

Answer

y = 3x + 2

One real Mathematics question.No signup. 30 seconds.

One real Mathematics question.
No signup. 30 seconds.