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# Graphs and Functions

### Critical Points, Tangent Line, and Graphing

See attached. 1) Consider . Find all values, c, in the interval [0,1] such that the slope of the tangent line to the graph of f at c is parallel to the secant line through the points (0, f(0)) and (1, f(1)). 2) Use a graphing calculator to graph the function . a) Adjust the viewing window and use the zoom and trace fea

### Functions and Relations

1. Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reasoning for a, b, and c. a. f(x) = x + 5 b. f(x) = 3 if x>2 otherwise f(x) = -2 c. f(x) = 7 if x>0 or f(x) = -7 if x<

### Problem Involving the Domain and Range of a Function

Please see the attached file for the fully formatted problems. I need to know the domain and range and how this is a function. Shoes - sports footwear Sports Authority Advisement paper

### Graphs and Graphing

Complete each ordered pair so that it satisfies the given equation. 1.) y = 2 x + 5: (8, ), (-1, ), ( , -1) Graph each equation. Plot at least five points for each equation. Use graph paper. See Examples 3–5. If you have a graphing calculator, use it to check your graphs when possible 2.)

### Linear Model graph needed

Hi, I would like to have the following linear model graphed in excel showing both feasible and optimal solutions. Expressed as: Maximize Z = .17(175)X1 + .28(208)X2 = 29.75X1 + 58.24X2 Constraints: Subject To \$175X1 + \$208X2 &#8804; \$120,000 525X1 - 208X2 &#8805; 0 350X1 -208X2 &#8805; 0

### Graphing, transformations and Asymptotes

MTH133 Unit 4 - Individual Project Name: 1) State the domain of the following and provide a brief explanation for your answer: a) Answer: b) Answer: c) Answer: d) Answer: e) Answer: 2) Suppose the graph of is shifted to obtain each the following graphs. What is the equation of the

### Explaining Algebra Questions: Graphs and Functions

The rational expressions are multiplied. Simplify: Show some work. 1. ______ A. 0 B. 1 C. D. Which of the following is TRUE about the line through the points (-3, 7) and (-3, 2)? EXPLAIN/SHOW WORK. 2. _______ A. The slope is negative. B. The slope is 0. C. The slope is positive. D. The

### Quotient Functions, Difference Quotients, Symmetry, Odd and Even Functions and Composite Functions

Please see the attached file for the fully formatted problems. Given and , which of the following is the domain of the quotient function ? Explain. 1._______ A. B. C. D. Find the difference quotient for f (x) = 3x - 7 and simplify. Show work. A. 1

### Equations and graphing

1. multiply -2/7*3/5 2. Soybean meal is 14% protein; cornmeal is 7% protein. How many pounds of each should be mixed together in order to get 280-lb mixture that is 12% protein? How many pounds of the cornmeal should be in the mixture? ___ Pounds How many pounds of the soybeans meal should be in the mixture? ___ pounds

### Linear Equations and Graphs

Can you help explain how to get the answers. I am completely lost.

### Methods of Solving Systems of Equations : Pros and Cons

Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? Which method do you like best? Why? What circumstances would cause you to use a different method? Consider responding to your classmates by indicating pros and cons they may not have cons

### Graphing lines and inequalities

Thanks for all your help... I have understood the process on the previous elements.. the graphing is still giving me a hard time... 1) Complete the table of values for y = x/3 - 2 x || 0 | 3 | 6 . y = x/3 - 2 || | | 2) Draw the gra

### Graphing and finding slopes, intercepts

24. Find the slope and y-intercept for each line Y=-x+5 28.3x+5y+10=0 32. Sketch the graph of each equation.(if you cannot make a graph in a word doc, can you just tell me how the graph should look and I can draw it and scan it in and post it for the assignment? Thank you! ) -3x-y=2 34. x=9

### Explanation of how curves can be used in daily situations

What are two or more other curves or graphs that you use or observe in the business environment? Why are they important and how are they used?

### Equations

See attached Solve the equation Use substitution to determine whether the ordered pair (-2, 11) is a solution of the equation x2 + y = 15. Show some work. Be sure to state your conclusion about whether the ordered pair is a solution or not. State the center and the radius of the circle represented by the equation

### Graphing and Linear Equations: 15 questions

1. Simplify: 6x3 + 4x2 +5 -7x3 +9x2 -4x +5 2. Evaluate -3[10+4(2 raised to the power 3) -5)-7] 3. Solve for X: -4(x + 6)-3x = 10 + (2 - x) 4. Name the property illustrated: 4(3.7)= (4.3)7 5. Graph 3x + 4y = 12 6. Find the x- and y-intercepts of y = -5x-6 7. Put 3x + 2y = -3 8. Find the slope and the line through the point

### Graphing Linear Equations - MTH212

MTH 212 Unit 2 - Individual Project A 1. The following table shows the number of hours five car salespeople worked and the number of cars they sold. Using Excel, plot each point on the same graph where the first coordinate is the number of hours and the second coordinate is the number of cars sold (hours, cars). After plotti

### A Linear Equation is Always a Function

Yes, all linear equations are functions, because the each equation has only one answer at a time. No. A linear equation is always a function. Y = 3x +4 can only be one answer at a time. It can change by what ever x or y is substituted with, but it can't have to outcomes with one substitution. (Is this RIGHT) f(x) = 12x

### Graphing Functions

A. Given f(x) = -3x + 7 1. Graph f(x). 2. Label the graph. B. Given f(x) = -3x2 + x - 5 1. Graph f(x). 2. Label the graph. Note: To draw the graph, you may use one or a combination of the following: - A spreadsheet program, such as Excel (*.xls) - A graphics program, such as Paint (*.jpeg, *.gif) - A word

### Correlation and causation graphs and symptoms

Please see attachment. I have included graphs and some symptoms of global warming for the questions being asked. I am just unable to formulate answers to the questions. Much discussion abounds these days about global warming, and the common knowledge is that people are to blame. This, in turn, is based on observations that t

### Bipartite Graph Matching Proof

Please help me with the proof of the question in the attached file. If G = (V, U, E) is a bipartite graph satisfying |V|=|U|=n and |N(S)|>=|S|-d for every...Hint: Try to use Hall's theorem.

### Security and Capital Market Line

A) What are the differences between the Security Market Line and the Capital Market Line? Show their formulas. B) What are the assumptions of the Capital Asset Pricing Model (CAPM)? C) What are the differences between the Capital Asset Pricing Model (CAPM) and the Arbitrage Pricing Theory (APT). Indicate at least 2 other

### Matching Problem.

Hello, I need a detailed solution of the following problem. Suppose that each member of a set of people has a list of k books which he or she wishes to borrow from a library. SUppose also that each book appears on exactly k lists. Show that it is possible for everyone to borrow one of the books on his or her list on the sam

### Graphing and Population Growth

Your group will develop four different population scenarios for a town. As a group, you will decide on the name of the town and the initial population. You will graph the function for each population scenario and use your model to make some decisions about the population. 1) 1) Decide on a name of a rural town. Name of town:

### Graph proof questions

I need following questions in Page number 23 & 24 ( Please see the attachment) Page 23 Exercise Problem 1.16 Page 24 Exercise Problem 1.20, 1.21, 1.22 & 1.25. Prove that a graph....

### Continuous and Discontinuous Functions

Explain the continuity of the given functions at the given point. The explanation should include a formal application of the three part definition continuity. If, the function is continoues, then you need to show the work needed to check the three parts of the definition. If you feel the function is discontinuous, t

### Algebra Project : Population Growth (Exponential and Radical Equation)

MTH133 Unit 4 Group Project - A Name: Your group will develop a population scenario for a town. As a group, you will decide on the name of the town and the initial population. You will graph the function for the population scenario. 1) 1) Decide on a name of a rural town. Name of town: _______________ 2) Decide on

### Functions : Domains, Asymptotes, Translations and Reflections

MTH133 Unit 4 - Individual Project - A Name: 1) State the domain of the following and provide a brief explanation for your answer: a) Answer: b) Answer: c) Answer: d) Answer: e) Answer: 2) Suppose the graph of is shifted to obtain each the following graphs. What is the equation o

### Your group will develop four different population scenarios for a town.

MTH133 Unit 4 Group Project - A Name: Your group will develop four different population scenarios for a town. As a group, you will decide on the name of the town and the initial population. You will graph the function for each population scenario and use your model to make some decisions about the population. 1) 1) De

### Graph proofs digraphs

I attached few description pages of Chapter 1. Could you please send solved solution from attached questions. Exercise Problem See Page 11. 1.2 & 1.3 Len n be a given positive integer, and let r and s be nonnegative integers....