Lst the intercepts of the equation \( y=3 x^{3}-81 \). List the intercepts. Select the correct ctoice below and, if necessary, fill in the answer box to complete your choice. A. The intercept(s) is/are (Type an ordered pair: Use a comma to separate answers as needed. B. There are no intercepts.

To find the intercepts of the equation \( y = 3x^3 - 81 \), we need to determine both the y-intercept and the x-intercepts. 1. **Y-intercept**: Set \( x = 0 \): \[ y = 3(0)^3 - 81 = -81 \] So the y-intercept is \( (0, -81) \). 2. **X-intercepts**: Set \( y = 0 \): \[ 0 = 3x^3 - 81 \implies 3x^3 = 81 \implies x^3 = 27 \implies x = 3 \] So the x-intercept is \( (3, 0) \). The intercepts are \( (0, -81) \) and \( (3, 0) \). A. The intercept(s) is/are (0, -81), (3, 0)