Exponential Functions and Graph Transformations with Constant Proportions

The lecture focuses on exponential functions, specifically y = e^(kx), and their graph transformations. It explains how multiplying the function or x-value affects the graph's stretch and shift. The gradient function is explored, showing that for y = e^(kx), the gradient is k times the function itself. The lecture generalizes this to any exponential function and discusses using exponential models when the gradient is proportional to the y-value.

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