f(x)=e2x+1−3f(x) = e^{2x+1} - 3f(x)=e2x+1−3
State the range of fff
The curve y=f(x)y = f(x)y=f(x) meets the yyy-axis at A A\,A and the xxx-axis at BBB. Find the exact coordinates of A A\,A and BBB.
Find the equation of the tangent to the curve at AAA.
Practise Edexcel A Level Maths Exponentials and Logarithms with exam-style questions for A Level Maths. 41 questions covering 14.1 Exponential Functions, 14.2 y = e^x, 14.3 Exponential Modelling, 14.4 Logarithms, 14.5 Laws of Logarithms, 14.6 Solving Equations using Logarithms, 14.7 Working with Natural Logarithms, and 14.8 Logarithms and Non-Linear Data, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
