Math  /  Algebra

Question3) Write an equation for a rational function with vertical asymptotes at x=3x=-3 and x=6,xx=6, x-intercepts at (2,0)(-2,0) and (1,0)(1,0), and a horizontal asymptote at y=2y=-2. Check that your answer is reasonable using Desmos.

Studdy Solution
Verify the function using Desmos.
Plot the function f(x)=2(x+2)(x1)(x+3)(x6) f(x) = \frac{-2(x + 2)(x - 1)}{(x + 3)(x - 6)} on Desmos to check that it has the given vertical asymptotes, x x -intercepts, and horizontal asymptote.

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