Identify the x-intercepts of the function: $f(x)=x^{2}+x-12$

Step 1 ：Identify the x-intercepts of the function: \(f(x)=x^{2}+x-12\).

Step 2 ：The x-intercepts of a function are the values of x for which the function equals zero. So, to find the x-intercepts of the function \(f(x)=x^{2}+x-12\), we need to solve the equation \(x^{2}+x-12=0\).

Step 3 ：Solving the equation gives us the x-intercepts as -4 and 3.

Step 4 ：Final Answer: The x-intercepts of the function \(f(x)=x^{2}+x-12\) are \(\boxed{-4}\) and \(\boxed{3}\).