Analyze the x- and y-intercepts of each rational function. Then compare the similarities and differences.

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f(x) = (x - 6) / (x + 1) x-intercept: Set f(x) = 0: (x - 6) / (x + 1) = 0, so x = 6. y-intercept: Set x = 0: f(0) = -6 / 1 = -6. g(x) = (x + 2) / (x - 4) x-intercept: Set g(x) = 0: (x + 2) / (x - 4) = 0, so x = -2. y-intercept: Set x = 0: g(0) = 2 / -4 = -1/2. Comparison: Both functions have different x- and y-intercepts. f(x) has an x-intercept at x = 6, while g(x) has it at x = -2. f(x) has a y-intercept at y = -6, while g(x) has it at y = -1/2. Both functions have vertical asymptotes, f(x) at x = -1 and g(x) at x = 4.

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Analyze the x- and y-intercepts of each rational function. Then compare the similarities and differences.

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