Vertical Line Test: Determining if an Elliptical Graph Represents a Function

Is the given graph a function?

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Step-by-step video solution

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00:00 Is the given graph a function?
00:05 The definition of a function is that for each X value there is one Y value
00:10 It seems that for an X value there are several Y values, therefore not a function
00:15 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Is the given graph a function?

–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777–4–4–4–3–3–3–2–2–2–1–1–1111222333000

2

Step-by-step solution

It is important to remember that a function is an equation that assigns to each element in domain X one and only one element in range Y

Let's note that in the graph:

f(0)=2,f(0)=−2 f(0)=2,f(0)=-2

In other words, there are two values for the same number.

Therefore, the graph is not a function.

3

Final Answer

No

Practice Quiz

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Is the given graph a function?

–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777–4–4–4–3–3–3–2–2–2–1–1–1111222333000

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