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 AQA A Level Maths 1.9 F: Exponentials and logarithms with exam-style questions for A Level Maths. 37 questions covering 1.9.1 Exponential functions and their graphs, 1.9.2 Gradient of e^kx (A-level only), 1.9.3 Logarithms as inverse functions, 1.9.4 Laws of logarithms, 1.9.5 Solving exponential equations, 1.9.6 Logarithmic graphs to estimate parameters (A-level only), and 1.9.7 Exponential growth and decay, matched to the AQA A Level Maths (7357) 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.
