This is a worksheet for students in the first year of A level Maths, to develop fluency in moving between different algebraic forms, and to relate algebraic and graphical representations
This is a short investigation using graphing software to investigate how the gradient of exponential graphs y=a^x, a>1 changes with y. By establishing direct proportionality it then allows for e to be introduced as the value for which the constant of proportionality is 1.