Let f be a continuous positive function on the interval [a, b]. Assume f= F'. Explain what each of the following expressions represents on the indicated graph. Pay close attention to the notation. (a) F(b) F(a) on the graph of f. O The difference between the slope of the tangent line to f at x = b and the slope of the tangent line to f at x = a. O The change in f from x = a to x = b. O The area under the secant line between the points (a, f(a)) and (b, f(b)). O The area under the curve y = f(x) on the interval [a, b]. O The slope of the secant line between the points (a, f(a)) and (b, f(b)). O The slope of the tangent line to fat x = a. O The average value of f over the interval [a, b]. fºfex on the graph of F. b-a O The difference between the slope of the tangent line to F at x = b and the slope of the tangent line to F at x = a. (b) f(x)dx O The change in F from x = a to x = b. O The area under the secant line between the points (a, F(a)) and (b, F(b)). O The area under the curve y = F(x) on the interval [a, b]. O The slope of the secant line between the points (a, F(a)) and (b, F(b)). O The slope of the tangent line to F at x = a. O The average value of F over the interval [a, b]. (c) ["f f(x) dx on the graph of f. b-a O The difference between the slope of the tangent line to f at x = b and the slope of the tangent line to fat x = a. O The change in f from x = a to x = b. O The area under the secant line between the points (a, f(a)) and (b, f(b)). O The area under the curve y = f(x) on the interval [a, b]. O The slope of the secant line between the points (a, f(a)) and (b, f(b)). O The slope of the tangent line to f at x = a. O The average value of f over the interval [a, b].