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Identifying Functions from Sets, Graphs, and Equations

Algebra · Algebra — Grade 9

Course: Algebra Book: Algebra — Grade 9

Question

Three relations are shown: **Relation A:** $\{(-1,\ 4),\ (0,\ 2),\ (1,\ 0),\ (2,\ 2),\ (3,\ 4)\}$ **Relation B:** A graph showing points at $(-2,\ 1)$, $(-1,\ 3)$, $(0,\ 2)$, $(1,\ 3)$, and $(2,\ 1)$. **Relation C:** $x^2 + y = 9$ (a) For Relation A, determine if it is a function by checking if each input has exactly one output. (b) For Relation B, apply the vertical line test to determine if it represents a function. (c) For Relation C, solve for $y$ and explain whether $y$ is a function of $x$.

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