IB skill practice

Understand gradients and limits

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

Paper 1 5 marks Difficulty 2

Calculate an average rate of change

A function passes through \((1,5)\) and \((4,17)\). Calculate \(\Delta x\), \(\Delta y\), and the average rate of change between the two points.

Worked practice: gradient from changes

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