How do you find the domain and range of #f(x) = x^3 - 3x + 2#?

1 Answer
Apr 27, 2018

Answer:

#D: " "(-oo, +oo)#

#R: " "(-oo, + oo)#

Explanation:

Domain simply asks, "Where does the function exist on the x-axis?" So, in this function, because #x# is cubed, it can stretch from negative infinity to positive infinity.

Similarly, range asks, "Where does the function exist on the y-axis?" When you plug the function into a graph, it becomes evident that it will forever go upward toward infinity and forever downwards toward negative infinity on both axes.

http://jwilson.coe.uga.edu/EMT668/EMT668.Folders.F97/Wynne/Cubic/Cubic%20Functions.html

This image shows the basic graph of #f(x)=x^3#.