Given the function f(x) = x2 + 3x - 88, list the x-intercepts, if any, of the graph of f

The x-intercepts of a function are the points where the graph of the function crosses the x-axis. This happens when the function's value is zero. So, to find the x-intercepts of the function f(x) = x^2 + 3x - 88, we need to solve the equation f(x) = 0.

Here are the steps:

1. Set the function equal to zero:

   x^2 + 3x - 88 = 0

2. This is a quadratic equation, and we can solve it by factoring, completing the square, or using the quadratic formula. In this case, factoring is the easiest method. We need to find two numbers that multiply to -88 and add to 3. Those numbers are 11 and -8.

   (x - 8)(x + 11) = 0

3. Set each factor equal to zero and solve for x:

   x - 8 = 0 => x = 8

   x + 11 = 0 => x = -11

So, the x-intercepts of the function f(x) = x^2 + 3x - 88 are x = 8 and x = -11.