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Year 12 Methods (Unit 3 & 4) Exponential and logarithmic functions

Determining rules for graphs of exponential andlogarithmic functions

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Questions
Question 1
107690

An exponential function \(y=ae^x+b\) and the points with coordinates \((0,4)\) and \((1,9)\) are on the graph of the function. Find the values of \(a\) and \(b\) in terms of \(e\).

\(a=\dfrac{5}{e-1}, \,b=\dfrac{4e-9}{e-1}\)

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