Decide whether the statement is true or false. To find the x-intercept of the graph of a linear function, we solve y = f(x) =0, and to find the y-intercept, we evaluate f(0). Choose the correct answer below. O A. The statement is false. To find both intercepts, we find the value a for which f(a) = a. The x-intercept and the y-intercept are both a. O B. The statement is false. To find the x-intercept we evaluate f(0), and to find the y-intercept, we solve y = f(x) = 0. O C. The statement is true. To find the x-intercept we solve y = f(x) =0, and to find the y-intercept, we evaluate f(0). O D. The statement is false. To find the x-intercept we solve y = f(x) = x, and to find the y-intercept, we evaluate f( - 1).Determine whether the statement is true or false, and explain why. The average rate of change between two points is equal to the slope of the line segment connecting the two points. Choose the correct answer below. O A. The statement is false because the slope of a line segment gives the reciprocal of the average rate of change. O B. The statement is true because the slope is equal to the change in x over the change in f(x), which gives the average rate of change. O C. The statement is false because the slope of a line segment gives the negative reciprocal of the average rate of change. O D. The statement is true because the slope is equal to the change in f(x) over the change in x, which gives the average rate of change.Determine whether the statement is true or false, and explain why. Since a constant function does not change, its derivative is always 0. Choose the correct answer below. O A. The statement is false. Since a constant function does not change, its derivative is constant, but not necessarily 0. O B. The statement is true, in part because the derivative represents a rate of change. O C. The statement is true, in part because the derivative follows the same path as the function itself. D. The statement is false. Although a constant function does not change, the relationship between the independent variable and the function does change, so the derivative must change as well