SOLUTION: For the function below, provide the following: (A)x-intercept(s) (B)y-intercept(s) (C)end behavior of the graph (D)graph of this function. Please show all of your work an

Algebra ->  Rational-functions -> SOLUTION: For the function below, provide the following: (A)x-intercept(s) (B)y-intercept(s) (C)end behavior of the graph (D)graph of this function. Please show all of your work an      Log On


   



Question 465508: For the function below, provide the following:
(A)x-intercept(s)
(B)y-intercept(s)
(C)end behavior of the graph
(D)graph of this function.
Please show all of your work and submit your graph.
f(x) = (x – 4)(x – 2)(x – 1)
Please help!!!

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
For the function below, provide the following:
(A)x-intercept(s)
(B)y-intercept(s)
(C)end behavior of the graph
(D)graph of this function.
Please show all of your work and submit your graph.
f(x) = (x – 4)(x – 2)(x – 1)
...
(A) x-intercept(s)
set y=0, then solve for x (zeros)
x-4=0
x=4
..
x-2=0
x=2
..
x-1=0
x=1
..
(B) y-intercept(s)
Set x=0, then solve for y
y=(0 – 4)(0 – 2)(0 – 1)=-4*-2*-1=-8
..
(C) end behavior of the graph
Range:(–∞,∞)
Domain: (-∞,∞)
See graph below
..
(D)graph of this function
y=x^3-7x^2+14x-8
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E3-7x%5E2%2B14x-8%29+