What is the domain and range of y =2^x?

1 Answer
Rhys
Jan 7, 2018

color(red)("Domain" - x in RR

color(blue)("Range" - y > 0

Explanation:

Finding the domain:

We must ask what values of x yields a valid value of y, and since this is just a simple exponential function, all values of x gives you a real value of y

color(red)("Domain" - x in RR

Now we must consider the range, so what are the values that y could possiblally take on, with a sketch we can see:

graph{y = 2^x [-9.83, 10.17, -1.2, 8.8]}

We see that all possitive values of y can be obtained, but not y = 0 as this is the functions asymptotoe, and occurs as x to oo

color(blue)("Range" - y > 0

Related questions
See all questions in Domain and Range of a Function
Impact of this question
11592 views around the world
You can reuse this answer
Creative Commons License