How do you find the domain and range of exponential functions f(x) = 2 - e ^ (x / 2)?

1 Answer
Jun 1, 2018

Dom f(X): RR
Ran f(X): (-oo,2)

Explanation:

The domain of a exponential function is Usually RR
Unless, the domain is restricted this usually specified by the use of function notation in the question.

The range of the most basic exponential f(X) is:
RR^+ The range of a exponential can be altered by a vertical translation or by a reflection in the X axis or y-axis(depends),
Or a combination of these transformations.

For Working out range I think it is best you sketch the curve yourself or use a graphing app e.g Desmos or A Graphing calculator Like the CAS T-nspire.