I'm having a hard time graphing this one: P(t) = log(8 t) [log base 10] Sketch features: Log function reflected in t due to (8 t). Vertical asymptote at t = 8 (approach from the left). x-intercept at t = 7 since log(1) = 0. Decreasing on its domain. Domain: (, 8) Range: (, ) Inverse: x = log(8 y) 10^{x} = 8 y y = 8 10^{x} P^{-1}(x) = 8 10^{x} Dom(P^{-1}) = (, ), Range(P^{-1}) = (, 8) Tip for sketching: mark the asymptotes and intercepts listed above; that's enough for accurate rough graphs