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

Question

Determine whether the following table represents a constant function:

XY02468-3-3-3-3-3

Video Solution

Solution Steps

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 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.

Answer

Yes, it does