IB skill practice

Understand gradients and limits

Connect secant gradients, average rate of change, and the intuition behind limits.

Paper 1 5 marks Difficulty 1

Average rate of change

A quantity changes from \((-3, 14)\) to \((5, -10)\). Find \(\Delta x\), \(\Delta y\), and the average rate of change.

Worked practice: gradient from changes

Find the change in x and y, then divide rise by run.