# 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 and submit y

Algebra ->  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 and submit y      Log On

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 Algebra: Rational Functions, analyzing and graphing Solvers Lessons Answers archive Quiz In Depth

 Question 465712: 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) I need some help please. Answer by lwsshak3(6494)   (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) ... f(x) = (x – 4)(x – 2)(x – 1) (A) To find x-intercepts (zeros), set f(x) =0, then solve for x x-4=0 x=4 .. x-2=0 x=2 .. x-1=0 x=1 .. (B) To find y-intercept, set x=0, then solve for y y=(-4)(-2)(-1)=-8 .. (C) End behavior: You can see that for x>0, f(x)>0 The sign of f(x) switches every time we go thru zeros, 4, 2, & 1. (This happens when the factors are of odd multiplicity ;ie, 1, 3, 5 etc.) (4, ∞), f(x)>0 (2, 4), f(x)<0 (1, 2), f(x)>0 (-∞, 1), f(x)<0 .. (D) Graphing: See the following graph as a visual check on the answers .. y)=x^3-7x^2+14x-8