Function Table Analysis: Determining if Y = -3 Represents a Function

Determine whether the following table represents a constant function:

XY02468-3-3-3-3-3

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Step-by-step video solution

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00:00 Does the table represent a function?
00:03 A function has a constant slope, a constant difference between Y values
00:07 Let's look at the differences between Y values and try to find the slope
00:13 Therefore the slope equals the difference, a graph with a slope is a function
00:17 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 constant function:

XY02468-3-3-3-3-3

2

Step-by-step solution

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

In the table, we can see that there is a constant change in the X values, specifically an increase of 2, while the Y value remains constant.

Therefore, the table does indeed describe a constant function.

3

Final Answer

Yes, it does

Practice Quiz

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Determine whether the following table represents a constant function:

XY02468-3-3-3-3-3

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