The correct answer is: A. x-axis at one.
The slope coefficient of a cost function is the amount by which the cost changes for each unit change in output. If the slope coefficient is zero, then the cost function is a horizontal line. This means that the cost does not change as output changes. In other words, the cost is constant.
The x-axis represents the output, and the y-axis represents the cost. If the cost function intersects the x-axis at one, then the cost is always one, regardless of the output. This means that the
slope coefficient is zero.The other options are incorrect because they do not describe a cost function with a slope coefficient of zero. Option B states that the cost function intersects the y-axis at a constant. This means that the cost is always the same, regardless of the output. This is not possible, because the cost must change as output changes. Option C states that the cost function intersects the x-axis at a constant. This means that the output
is always the same, regardless of the cost. This is also not possible, because the output must change as the cost changes. Option D states that the cost function intersects the y-axis at one. This is the same as option B, and it is also incorrect.