Math  /  Algebra

Questionf(x)=18x+72x2A2x24f(x)=\frac{18 x+72}{x^{2}-A^{2 x-24}}
Graph the following key features of f(x)f(x) : 1) yy-intercept(s) 2) xx-intercept(s) 3) vertical asymptote(s) 4) horizontal asymptote(s)

Studdy Solution
To find the horizontal asymptote, compare the degrees of the numerator and the denominator.
The degree of the numerator is 1, and the degree of the denominator is 2. Since the degree of the denominator is greater, the horizontal asymptote is y=0 y = 0 .
The key features are: 1) y y -intercept: (0,3) (0, -3) 2) x x -intercept: (4,0) (-4, 0) 3) Vertical asymptotes: x=6 x = 6 and x=4 x = -4 4) Horizontal asymptote: y=0 y = 0

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