# How do you find the domain and range of #f(x)=(x^4)-(4x^3)+3x^2#?

##### 1 Answer

Perhaps this question should be in the calculus section.

Domain

I have taken you to a point where you can finish off for the range.

#### Explanation:

Input comes before you can get any output.

As a memory aid: d for domain comes before r for range so the link is:

input

output

There are no denominators so no 'excluded' values

If you have a variable in the denominator and it has the 'ability' to 'turn' the denominator into 0 then we have a problem.

YOU ARE NOT ALLOWED TO DIVIDE BY 0

Thus the expression/equation becomes 'undefined'.

As the value of

Note that if

Ok that has dealt with the maximums but what about the minimums.

To answer this I am choosing to use calculus.

Set

Then

Set

Solve

The values of

I will let you finish this off.