All subjects / Mathematics Grade 10 / Functions & GraphsMathematics · Grade 10 CAPS
Functions & Graphs
Functions & Graphs is one of 9 topics in the Grade 10 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. If f(x) = 2x + 3, calculate f(4).
Answer: 11 — Substitute x=4: f(4) = 2(4) + 3 = 8 + 3 = 11.
Easy
2. In a function, what is true about the relationship between an input (x) and its output (y)?
Every input produces exactly one output Every input can produce many different outputs Outputs never depend on inputs There must be more outputs than inputs Answer: Every input produces exactly one output — By definition, a function assigns exactly one output value to each input value.
Medium
3. What test can be used on a graph to check whether it represents a function?
Answer: the vertical line test — The vertical line test: if any vertical line crosses the graph more than once, it is not a function.
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