How do you solve this question for exponential and logarithms ?

Specifically, just part A and Part C :

f(x) = e^(2x + 1) – 3

(a) State the range of f

The curve y = f(x) meets the y-axis at A and the x-axis at B.
(b) Find the exact coordinates of A and B.
(c) Find the equation of the tangent to the curve at A.

https://www.mathsgenie.co.uk/resources/as-pure-exponentials-and-logsans.pdf - the answer is on the very last page however I dont understand how to do part A and part C.

Reply 1

mqb2766

Original post by sreeeeyas

Do you know what the range of
e^x
e^x - 3
e^(2x+1) - 3
are? Simple sketches may help.

Which part of c don't you undesrtand? The tangent is the line which matches the function and its derivative at that point, which gives you "m" and "c".