Functions: Domain and range
Range
Take a look at the function #f(x)=x^2#.
We see that the smallest value this function takes on is #0#, after that the function increases indefinitely.
Hence all values in the interval #\ivco{0}{\infty}# are within range of the function.
We say that the range of #f# is equal to the interval #\ivco{0}{\infty}#.
plaatje
Range
The range of a function #f# consists of all values #f(x)# that this function can reach on its domain.
Example
Determine the range of #f(x)=-x^2#:
the interval #(-\infty, 0]#
The range is: #\ivco{-8}{\infty}#
We sketch the graph:
We can read the range from the sketch.
The smallest function value is #-8# and after that the graph increases indefinitely.
The range is: #\ivco{-8}{\infty}#.
Unlock full access
Teacher access
Request a demo account. We will help you get started with our digital learning environment.
Student access
Is your university not a partner?
Get access to our courses via Pass Your Math independent of your university. See pricing and more.
Or visit omptest.org if jou are taking an OMPT exam.
Or visit omptest.org if jou are taking an OMPT exam.
