Graph the function f\left(x\right)=\frac{x^2-10x-24}{x^2-25}

✓ 1. Determine the x-intercept(s) and y-intercept of the function.
x-intercept(s): (−2, 0) (12, 0) (−2, 0) and (12, 0) (2, 0) and (−12, 0)
y-intercept(s): (0, −24/25) (0, 0) (0, 24/25) (0, 2)

✓ 2. Determine the vertical asymptote(s) of the function.
The vertical asymptotes are at x = 5 x = −5 x = 5 and x = −5

✓ 3. Determine the horizontal asymptote of the function.
The horizontal asymptote is y = .
The domain of the function is (−∞, ∞) (−∞, ∞)∪(−5, 5)∪(5, ∞) (−∞, ∞)∪(−5, 5) .
The range of the function is (−∞, ∞) (−∞, 1)∪(1, ∞) (−∞, −1)∪(−1, ∞) .