Vertical Line Test: Is This Curved Graph a Function?

Determine whether the given graph is 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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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 each X value has one Y value
00:09 Let's check the graph values in the table
00:18 We can see that each value has only one Y value, therefore it's a function
00:24 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Determine whether the given graph is 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

We should note that for every X value found on the graph, there is one and only one corresponding Y value.

Therefore, the graph is indeed a function.

3

Final Answer

Yes

Practice Quiz

Test your knowledge with interactive questions

Determine whether the following table represents a constant function:

XY02468-3-3-3-3-3

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