1. Functions

Hey guys, I have a big test coming up and I need to know how to do these problems. So thanks if you can help or even taking the time to look at them.

Given the function f(x) = x^(3) - 3x^(2) + 2x

(A) find the real roots (x-intercepts)

(B) what is the y-intercept

2. To find the x-intercept you must solve the equation $f(x)=0$.
Then $x^3-3x^2+2x=0\Leftrightarrow x(x-1)(x-2)=0$

To find the y-intercept you have to calculate $f(0)$

3. sorry im still confuse

4. $x(x-1)(x-2)=0\Rightarrow x_1=0, \ x_2=1, \ x_3=2$
So, the x-intercepts are $O(0,0), \ A(1,0), \ B(2,0)$

$f(0)=0$, so the y-intercept is $O(0,0)$

5. Originally Posted by uniquereason81
sorry im still confuse
Do you understand how the factorised form $x(x-1)(x-2)$ of f(x) is got?
Do you know how to solve the equation $x(x-1)(x-2)=0$?