Does This Table Represent a Constant Function? Evaluating X(-1,0,1) with Y(2,4,7)

Question

Determine whether the following table represents a constant function

00:00 Does the following table represent a function?

00:05 A function has a constant slope, constant difference between Y values

00:10 Let's examine the differences between Y values and try to find the slope

00:12 The differences vary, the slope is not constant, therefore it's not a function

00:15 And this is the solution to the question

To determine if the table represents a constant function, we need to examine the Y-values corresponding to the X-values given in the table.

Step 1: Identify the given values from the table. The pairs are as follows: - For $X = -1$ , $Y = 2$ - For $X = 0$ , $Y = 4$ - For $X = 1$ , $Y = 7$
Step 2: Check if all Y-values are the same. Compare Y-values for each X-value:

Y = 2

X = -1

Y = 4

X = 0

Y = 7

X = 1

Since the Y-values (2, 4, and 7) are not the same, the function is not constant.

Thus, the table does not represent a constant function. The correct choice is: No.