Q) A function is defined by
for
x is greater than or equal to
2 and x is less than or equal to
4.
1) Find the range of f(x)
2) Find the domain of f(x)
Now normally I would use the completed square method to write the quadratic equations into a form such as
and then plug in such a value for
x to just leave
+c behind which would be the range of my function and the value of
x would become the domain. But as you can see the above equation is
^3 and not
^2. So what is the easiest method to find the range and the domain here?
Also another thing I wanted to ask is that in such questions when they say something like "for
x is greater than or equal to
2 and x is less than or equal to
4" in front of the function, should we take this as the range or the domain or what? Please clarify a little bit on this thanks.