Understanding First Differences in Tables

What must be true about the differences in X values for the first differences method to work?

• They must be zero.

• They must be constant.

• They must be increasing by different amounts.

• They must be decreasing.

If the first differences in Y values are not equal, what can we conclude about the relation?

• It is linear.

• It is quadratic.

• It is exponential.

• It is nonlinear.

What is the first difference between the Y values 6 and 5?

• -1

• 1

• 2

• 0

In the second table, what is the first difference between the Y values 4 and 8?

• -4

• 4

• 0

• 8

What conclusion can be drawn if all first differences in Y values are equal?

• The relation is linear.

• The relation is quadratic.

• The relation is nonlinear.

• The relation is undefined.