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Mathematics · Grade 11 CAPS

Functions & Graphs

Functions & Graphs is one of 10 topics in the Grade 11 Mathematics CAPS syllabus, covered across 3 lessons on Study Vault. Below are real practice questions from this topic with full worked answers.

Sample practice questions

Easy

1. For y = 2x^2 - 4x - 6, calculate the x-coordinate of the turning point using x = -b/(2a).

Answer: 1 — x = -(-4)/(2x2) = 4/4 = 1.
Medium

2. For y = 2x^2 - 4x - 6, calculate the y-coordinate of the turning point (using x=1 from the previous step).

Answer: -8 — y = 2(1)^2 - 4(1) - 6 = 2 - 4 - 6 = -8.
Medium

3. Determine the x-intercepts of y = 2x^2 - 4x - 6.

Answer: x=3 or x=-1 — Set y=0: 2x^2-4x-6=0, divide by 2: x^2-2x-3=0, factorise: (x-3)(x+1)=0, giving x=3 or x=-1.
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