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Graphs and Functions

Maxima and Minima - Derivatives and Graphing

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

Problems on Parabola, Ellipse and Hyperbola

#1. Find the equation of parabola describe. Find 2 points of latus rectum.Graph. Focus(-5,0) Vertex(0,0) #2 Find the equation of the parabola. Find 2 points that define latus rectum. Graph. Focus (0,1) Diectrix line y= -1 #3. Find the equation of ellipse.draw the graph. Center (0,0) Focus(0,8) Vertex (

Minimum, maximum, critical point

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

Functions

Which of the following are functions? 1. f(x) = 2 if x > 1 otherwise f(x) = -1 2. f(x) = 5 if x > 0 or f(x) = -5 if x < 0 or f(x) = 5 or -5 if x = 0 3. f(x) = x/10

1. Economic production lot size problem. 2. Waiting line problem M/M/1 model

1. Kellam Images prints snack food bags on long rolls of plastic film. The plant operates 250 days a year. The daily production rate is 6000 bags, and the daily demand is 3500 bags. The cost to set up the design for printing is $300. The holding cost is estimated at 2 cents per bag. a. What is the recommended production lot s

Odd, Even, One-to-one, Domain, Range and Function Composition

Practice Problems Compare the graph of the given quadratic function f with the graph of y = x2. 1) f(x) = (x - 2)2 + 3 Determine if the function is even, odd, or neither. 2) f(x) = 2x5 + 2x3 Decide whether the relation defines a function. 3) {(-8, 2), (-8, 8), (-1, 8), (5, 6), (8, 7)} 5) y2 = 3x Find the domain

Graphical solution - Objective function coefficient

Use a graph to illustrate why a change in an objective function coefficient does not necessarily lead to a change in the optimal values of the decision variables, but a change in the right-hand sides of a binding constraint does lead to new values.

Quadratic Function Graphing Line Symmetry

1.Find and label the vertex and the line of symmetry. Graph the function. F(x)= 3(x-2) 2.Find and label the vertex and the line of symmetry. Graph the function f(x)=4x 3.Solve for x. x +25= 8x 4. Find the vertex,line of symmetry, and the maximum or minimum value of f(x). Graph the function. F(x)= -(x+6) -4 (type

Find and label the vertex and the line of symmetry.

Don't mind the graphing part. What I got out of the assignment is the vertex portion. Please see the attached file. 1.Find and label the vertex and the line of symmetry. Graph the function. F(x)= 4x The vertex is (type an ordered pair) 2.Find and label the vertex and the kline of symmetry. Graph the function f(x)=(

Solving Equations and Word Problems

Please show work. Thanks! 1.Simplify -2c(c-8)-3(c-8) 2. Solve the equation x- .05x = 190 3. Solve the equation 5x -9 = x-4 4. Solve the equation system x + y = 5, x - y = 1 5. Gra

Explain vertical line with a graph of equation x = 4.

Why is the line x=4 a vertical line? A brief and an original writeup has been provided to explain the student community the concept of vertical lines. A graphical example of equation x=4 has been attached to aid the understanding of the concept.

Graphing Functions

To exercise your skills, you are to perform the following using different tools available to you (e.g. Excel spreadsheet, graphing calculator, etc.) and write and explanation on your findings: The graph of: f(x)= 0 The graph of: f(x) = a0 , where a0 &#8800; 0 The graph of: f(x) = a0 + a1x , where a1 &#8800; 0 For each o

Solving Equations and Inequalities

1. Simplify: (-4)(5)(-7)(2) 2. Two trains are approaching each other on the same track. They are 500 miles from each other. One train is traveling at 40 mph, the other at 60 mph. A bird is flying back and forth between them at 150 mph. How long before they collide? 3. Solve for y: x = (y-b) / m

An Application of a Rational Function

An application of a rational function is T = (AB)/(A+B), which gives the time, T, it takes for two workers to complete a particular task where A & B represent the time it would take for each individual worker to complete the identical task. Estimate how long it takes you to complete a task of your choice (house cleaning, mow

Vertical Asymtotes, Holes and Horizontal Asymtotes

For the rational function f(x)=[3x(x-1)]/[(x-1)(x+2)] a) Find each of these features, saying how you know in each case 1. Verticle asymptotes (if any) 2. Holes (if any) 3. Horizontal asymtotes (if any) b) Draw a neat graph of f(x), showing any asymptotes and/or holes appropriately.

Cost and Revenue Functions and Breaking Point

1. A company that manufactures bicycles has a fixed cost of $ 100,000. It costs $ 100 to produce each bicycle. The selling price per bike is $ 300. a) Write the cost function, C. b) Write the revenue function, R c) Determine the breaking point. Describes what this means.

Graphing, Slopes and Intercepts

1. Give an example of a linear function and show at least one method of graphing it. By looking at the graph of a line, how can you tell if its slope is negative? What kind of line has a slope of zero and why? 2. Give an example of quadratic function and show at least one method of graphing it

Functions : Domains, Transformations and Asymptotes

MTH133 Unit 5 Individual Project - A Name: 1) Find the domain of the following: a) Answer: Explain how you obtained your answer here: b) Answer: Show your work or explain how you obtained your answer here: c) Answer: Explain how you obtained your answer here: d) Answer: S

Domain and Range of a Function..

1 Use the graph to find a reasonable estimate of f(-2). Graph is included in the attached document. 2 What is the domain of f (x) 3 What is the range of f (x) 4 Explain why f represents the graph of a function

Two applications of a rational functions

Part 1: An application of a rational function is Young's rule, which approximates the dosage of a drug prescribed for children. a) Using the Library, web resources, and/or other materials, find the equation for Young's rule. State what each variable in the equation represents. Do not type the equation using the Equatio

Graphs and Systems of Inequalities

11. Match the graph with one of the equations. a) y = x b) y = 3x c) y = d) y = x + 3 14. A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production

Equation of a Tangent Line

Write an eq. of the line tangent to the curve y = (5/x2) - (2/x3) at the point P(-1,7)? Express in ax+by=c form.

Find a real-life application of a linear function.

Part 2: Using the Library, web resources, and/or other materials, find a real-life application of a linear function. State the application, give the equation of the linear function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y fo

MTH11 - Unit 1 Individual Project: Graphing, Trends and Forecasting

1) Solve the following: a) 2x + 3 = 8 b) -5(x+2) + 3 = 5 c) 1/4(x) + 3/2(x) = 7 d) -5x + 1 > 11 2) a) Solve 5x + 4y = 12 for y b) When graphed, this equation would e a line. By examining your answer to part a, what is the slope and y-intercept of this line? c) Using your answer from part a, find the corresponding value