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.