Math  /  Algebra

Questionf(x)=4(x+1)(x3)(x2)(x6)f(x)=\frac{-4(x+1)(x-3)}{(x-2)(x-6)}
Graph the following key features of f(x)f(x) : 1) yy-intercept 2) xx-intercept(s) 3) vertical asymptote(s)

Studdy Solution
Solve for x x :
(x2)=0or(x6)=0 (x-2) = 0 \quad \text{or} \quad (x-6) = 0 x=2orx=6 x = 2 \quad \text{or} \quad x = 6
The vertical asymptotes are at x=2 x = 2 and x=6 x = 6 .
The key features of the graph of f(x) f(x) are: - y y -intercept at (0,1) (0, 1) - x x -intercepts at (1,0) (-1, 0) and (3,0) (3, 0) - Vertical asymptotes at x=2 x = 2 and x=6 x = 6

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