7. A store owner wants to know the demand for family special as a function of price. Daily sales for four prices are listed.
Price,x $9.50 $10.25 $10.75 $11.75
Demand,y 33 26 27 28
Use a least squaresregressionline to estimate the demand for family special at $12.75

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1. GIVEN f(X)=16-X SQUARED,AND G(X)=4-X, FIND F/G (x).

2. FIND THE MAXIMUM OR MINIMUM VALUE OF THE QUADRATIC FUNCTION
F(X)-X SQUARED+10X-19. STATE WHETHER THIS VALUE IS A MAX.. OR MINI..

achieves maximum 6 at x=5. Why? Since

3. EVALUATETHE FUNCTIONAT AT SPECIFIED VALUE OF THE INDEPENDENT VARIABLE AND SIMPLIFY. F(X)=/X/-2; F(4)

So,
F(4)=4-2=2

4. GIVEN F(X)=2/X-6 AND ...

Solution Summary

Quadratic Functions, Maxima, Minima, Even Function and Least Squares Regression are investigated.

Derivatives and graphing; please show all work. See attached.
Pg 176
#24
For the function, f, given in the graph in following figure:
a) sketch f ' (x)
b) Where does f ' (x) change its sign?
c) Where does f ' (x) have local maxima or minima?
#25 Using the answer to previous problem as a guide, write a

1. f(x)=X3-3X2+5 (-1,3)
I need to find local Maxima and Local Minima for this Question. Also determine where the function is increasing and where it is decreasing. round answer to two decimal places.
2. g(x)= X2+1
(a) Find the average rate of change from -1 to 2.
(b) Find an equation of the secant line containing

For the function of f, given below in graph
(a) Sketch
(b) Where does change its sign
(c) Where does have local minima and maxima
Using the graph of write a brief description of complete sentences to describe the relationship between the following features of the function of:
(a) the local maxima and minima o

1. Using completing the square to describe the graph of the following function. Support your answer graphically.
f(x) = -2x^2 + 4x + 1
2. Graph the function: g(x) = (x-2)^3
3. Determine the quadraticfunction f whose vertex is (3, -2) and passes through (2, 1)
4. Graph the line containing the point P and having slope m: P

In economics, when you plot cost and revenue on the Price-Quantity axis, the profit maximization condition is when marginal cost is equal to marginal revenue. This is a crucial notion to understand. Without it one can't effectively analyze profits. Does this make sense?

1) The cost per unit produced at a certain facility is represented by the function UC = 2x^2 - 10x + 50, where x is in thousands of units produced. For what value of x would unit cost be minimized (other than zero)? What is the minimum cost at this volume? Show that the value found is truly a minimum.
2) Advertising expenditu

Please show work where applicable. Some graphing needed.
#5 The function f(x)=x^4 - 4x^3 + 8x has a critical point at x=1. Use the second derivative test to identify it as a local maximum, a local minimum or neither.
Using calc or computer, graph the following functions. Describe briefly in words the interesting features o