Long description: workbook11block1fig2

The image displays two graphs comparing the gradient of a tangent line at points labeled P and Q to the rate at which a function is changing.

Alt text: The image shows a graph with two points, P and Q, illustrating the relationship between the gradient of a tangent line and the rate of change of a function.

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The image displays a two-dimensional coordinate plane with the horizontal axis labeled with \(x\) and the vertical axis labeled with \(y\).
On the left side, a curve is shown with a point labeled P, where a tangent line is drawn.
At point P, the tangent line has a shallow, positive slope, indicating a small rate of change for the function.
On the right side, the same type of curve is shown with a point labeled Q, where a tangent line is drawn.
At point Q, the tangent line has a steep, positive slope, indicating a large rate of change for the function.

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