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

Find average rate of change from a table

A table gives \(f(0)=12\) and \(f(8)=44\). Calculate \(\Delta x\), \(\Delta y\), and the average rate of change over this interval.

Worked practice: gradient from changes

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