Final answer:
To find the values of x for which f(x) = 0, one typically rearranges the quadratic function into the standard form and applies the quadratic formula, resulting in two possible x-intercepts.
Step-by-step explanation:
To determine at what values of x, the function f(x) equals zero, one must solve the equation f(x) = 0 for x. This often involves rearranging the equation to the standard quadratic form ax2 + bx + c = 0 and then applying the quadratic formula x = (-b ± √(b2 - 4ac)) / (2a). The quadratic formula will yield two solutions for x, which represent the x-intercepts of the function on a graph.
For example, if we have a quadratic equation x2 + 0.0211x - 0.0211 = 0, we would substitute a = 1, b = 0.0211, and c = -0.0211 into the quadratic formula to find the values for which f(x) = 0.
After calculating, the two possible values of x that make the function equal to zero might be x = 0.0216 or x = -0.0224 (values could vary based on the actual function provided).