Input a function into the input box for f(x) and hit enter. Input the left and right limits of integration. This will give an updated value for the integral. Select the "Show Congruent Area" box and discuss the meaning of the average value with respect to this diagram. Select "Show Average Value" to reveal the answer.
[br][br] [br][br][br]Change the function to 0.3x(8-3) and answer the following[br]questions[br][br][br]a. Left limit:[br][br][br]b. Right limit:[br][br][br]c. Integral Value:[br][br][br]d. Congruent Area:[br][br][br]e. Average Value:[br][br][br]f. Is the average value a y value or an x value?[br][br][br]g. What is the width of the rectangle?[br][br][br]
[br][br][br]How does the average value relate to the area of the[br]rectangle?[br][br][br]
[br][br][br]How does the average value relate to the area of under[br]the curve?[br][br][br]
[br][br] [br]Using the same function, but a different interval[br]repeat steps a – i from first question[br][br][br]
[br][br][br]Use your own words to provide a definition for the[br]average value of a function[br][br][br]