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