Function Table Analysis: Validating Input-Output Pairs (-1,5), (0,8), (1,11)

Determine whether the following table represents a function

XY-1015811

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Step-by-step video solution

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00:00 Does the following table represent a function?
00:03 A function has a constant slope, a constant difference between Y values
00:07 Let's examine the differences between Y values and try to find the slope
00:10 Therefore the slope equals the difference, a graph with a slope is a function
00:13 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Determine whether the following table represents a function

XY-1015811

2

Step-by-step solution

It is important to remember that a constant function describes a situation where as the X value increases, the function value (Y) remains constant.

In the table, we can observe that there is a constant change in X values, meaning an increase of 1, and a constant change in Y values, meaning an increase of 3

Therefore, according to the rule, the table describes a function.

3

Final Answer

Yes

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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