\(y = e^x\)

- This graph (\(y=e^x\)), has the same differentiated function and integrated function, meaning the area under the graph at a certain point and the gradient of the graoh at the same point are the same.

- If you do a graph of \(y=e^{-x}\) then the graph will be reflected in the y-axis.
- A greater exponent, (e.g. \(y=e^{4x}\)), will make the graph be more squished.
- A fractional exponent, (e.g. \(y=e^{\frac{1}{2}x}\)), will make the graph more spread out.
- A multiplier inside the function, (e.g. \(y=4e^x\)), will make the graph steeper or flatter. (in this case, the y intercept would be 4).