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

00:10 Let's see if this table shows a function.

00:15 Remember, a function has a constant slope, which means equal differences in Y values.

00:21 Now, let's check the changes in Y values to find the slope.

00:26 The differences vary, so the slope isn't constant. That means it's not a function.

00:32 And that's how we solve this problem!

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.