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.