Apply your understanding of derivatives to determine any intervals of increase for the function g(x)= 3 + x3

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

When examining the formula of a function that is the result of multiple transformations, how can you tell a horizontal compression from a vertical compression?

Explain how the first derivative of a function determines where the function is increasing and decreasing.

The pounds of bananas sold each week at all Metro Seattle Albertsons stores as a function of price, p , in dollars/pound(lb.) is given by q(p) = 100e7.5-1.5p1. Express the Revenue function in terms of p and then find both the first and second derivatives of the revenue function. Type each of these in your text box, using appropriate standard mathematical formatting notation (like that shown above) in Excel. 2. Use Excel over an interval of [0, 6] in increments of .25 to create values for all 3 of your functions from part 1. This is hard! You should be getting the beginning values shown on the next page. Keep at it until you do!! You must create these values by typing in and using the correct formulas. 3. Use Excel to determine exactly where there are any Maximum and/or Minimum values for Revenue. In your text box, explain fully and completely how you determine where to look, and how you know from the First Derivative Test that you have a maximum or a minimum value. 4. Write a…