Final answer:
To find the zeros of the function with given constants a = 1, b = 0.0211, and c = -0.0211, the quadratic formula yields a zero at approximately x = -0.01055, which does not match the provided options. If the function represents a horizontal line, it would not have zeros, contradicting the provided possibilities.
Step-by-step explanation:
The student is asking about the zeros of a function, which are the values of x that make the function's value equal to zero. To solve for the zeros of a quadratic equation, we use the quadratic formula, which is x = −b ± √(b² − 4ac) − 2a. In this case, the constants provided are a = 1, b = 0.0211, and c = -0.0211. Using these values, we have:
After performing the calculation, you will notice the discriminant (the part under the square root) becomes zero and you are left with x = -0.0211 / 2, which is approximately x = -0.01055. Since the student has provided specific options (a) -6, (b) -5, (c) -4, (d) -3, none of these match the calculated zero, which suggests that either there is an error in the calculation or the question may not match the provided details. Nonetheless, based on the provided graph options, if the graph is a horizontal line at a negative value, then the function would not have zeros as the value of y would be constant and not equal to zero.