Understanding Quadratic Relations through Differences

What must be true about the X values in a table before checking for quadratic relations?

• They must be prime numbers.

• They must all be negative.

• They must all be positive.

• They must increase or decrease by the same amount.

How do you calculate the first difference between two Y values?

• Add the first Y value to the second Y value.

• Divide the first Y value by the second Y value.

• Subtract the first Y value from the second Y value.

• Multiply the two Y values.

What conclusion can be drawn if the first differences are not equal?

• The relation is quadratic.

• The relation is linear.

• The relation is exponential.

• The relation is nonlinear.

What indicates that a relation is quadratic when examining second differences?

• The second differences are all positive.

• The second differences are all negative.

• The second differences are all equal.

• The second differences are all zero.

If the second differences are not equal, what should be the next step?

• Recalculate the first differences.

• Ignore the table of values.

• Conclude the relation is quadratic.

• Check for third differences.