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# Graphs and Functions

### Find Equations for Slope-Intercept

Please show work so I can figure this out on similar problems. See attached for all questions. Find an equation in slope-intercept form (where possible) for each line Graph each equation

### Solving and graphing inequality

1. determine whether the given numbers are solutions of the inequality. 7, -13, -17, -1 y-10>2y-4 is 7 a solution? 2. write the set (xlx_>1) in interval notation 3. write interval notation for the set (xl-1>x>-3) 4. write interval notation for the given graph ( strai

### Cartesian Product and Cardinal Number

Find the Cartesian Product 1. A={12, 9, 10} B={14, 4} Find A x B Find the indicated cardinal number.Please show work. 2. Find n(C x D) given that C = {4, 5, 6 } and D={7, 8, 9, 10} Statements and non-statement Determine and justify whether the sentence is a statement. 3. The orbit of Uranus lies completely withi

### Graphing, Trends and Forecasting

5. (a) Plot the data on U.S. general aviation shipments. (b) Describe the pattern and discuss possible causes. (c) Would a fitted trend be helpful? Explain. (d) Make a similar graph for 1992-2003 only. Would a fitted trend be helpful in making a prediction for 2004? (e) Fit a trend model of your choice to the 1992-2003 data. (f

### Graph of an interval.

Describe what the graph of interval [-4,10] looks like.

### Lines, graphing, and break-even point

1. Find the slope of the line 3x - y = 5. 2. Find the point of intersection of the lines 2x + y = 4 and 3x - y = 1. Graph the pair of lines. 3. A manufacturer produces items at a daily cost of \$1.50 per item and sells them for \$2.50 per item. The daily operational overhead is \$500. What is the break-even point?

### linear relationship and slope of two points

1. Instructions for 1a-1e Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation: Example of how to show your work: C(g)=3.03(g) C(6) = 3.03(6) C(6)=18.18 What does the number 3.03 represent? Find C(2)

### Your manager is very pleased with your presentations and being able to show your calculations in a detailed fashion. He has asked that you help him prepare for the upcoming company summit. Before you get together, he has asked that you give him a little review on polynomial functions and how you ...

Your manager is very pleased with your presentations and being able to show your calculations in a detailed fashion. He has asked that you help him prepare for the upcoming company summit. Before you get together, he has asked that you give him a little review on polynomial functions and how you would apply them to everyday use.

### Systems of equations

See attachment for proper formatting. Math Here are some more problems I would like help with. 1. Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and as dependent or independent. 6x-6y= -12 6y-6x= 12 What is the solution of the system of equations? a) A point b)

### Solving and graphing inequalities and system of inequalities

See attachment for proper formatting. 1.) Solve and graph. 3x+13 The solution is {x|x ____} 2.) Solve and graph. 3x+3 or 6x + 3 The solution is {x|x _____} 3.) Solve the system by the elimination method. 5x+2y=-11 7x+3y=19 What is the solution to the system? _______________ (Type an ordered p

### Functions

What is the difference between domain and range? Describe a real-life situation that could be modeled by a function. Provide feedback about your classmates' answers. Describe the values for x that may not be appropriate values even when they are defined by your classmates' function. A function could, for example, indicate the

Need help with attached word problems (see attachment for full details) 1. During the championship soccer game, the goalkeeper, Brandon, kicked the ball straight up to the Mid-Fielder, Alex, with an initial velocity of 32 feet per second. The height of the ball relative to the ground is a function of time given by the

See attachment Graph each quadratic function and state its domain and range Find the vertex and intercepts for each quadratic function. Sketch the graph, and state the domain and range

### Solving/graphing inequalities.

Could you help with some problems. Please see the attached file.

### Quadratic Function - Firing a Bullet

Suppose a bullet is fired on a distant planet so that its height (in feet) after t seconds is given by h=-4t2 + 16t +5. The 2 in 4t2 is a small 2, but I don't know how to do that with my keyboard. a. When is the bullet at its highest point? b. When will the bullet strike the ground? c. What is the maximum height the bu

### To understand Polynomials and rational functions - To explore the versatility of rational functions, choose a second-order/third-order (e.g., x2/x3) and a third-order/second-order (e.g., x3/x2) rational function. ...

To explore the versatility of rational functions, choose a second-order/third-order (e.g., x2/x3) and a third-order/second-order (e.g., x3/x2) rational function. To explore the versatility of rational functions, choose a second-order/third-order (e.g., x2/x3) and a third-order/second-order (e.g., x3/x2) rational function. Pro

### Computing the Laplacian in different coordinate systems

Please assist with the attached problem. (a) Calculate the Laplacian of function u(x,y,z) = x^3 - 3xy^2 + z^2 in 3D Cartesian coordinates. (b) Convert the formula for u into formula for u involving cylindrical polar coordinates. Then compute the Laplacian using the cylindrical polar form. Show that your answer here is the same

### Practice with Functions

I need some help to push me through with functions. (Please see the Attached Questions File) 5. Perform the requested operation or operations. f(x) = 2x - 9, g(x) = 4x - 4 Find (f - g)(x) Answer. -2x - 5 6. Compare the graph of the given quadratic function f with the graph of y = x2 f(x) = (x - 8)2 + 4 Answer.

### I have problems understanding how to draw graphs and how to read information from them. Can you help? (See the Attached Questions File)

I have problems understanding how to draw graphs and how to rad information from them. Can you help? (See the Attached Questions File)

### Investigate how population growth can be modeled using linear, quadratic, radical and rational functions ... (See the Attached Questions File)

Assume initial population and a constant growth factor of your choice and Investigate how population growth can be modeled using linear, quadratic, radical and rational functions ... (See the Attached Questions File)

### MTH133: Unit 4 - Individual Project - A: Domain, Functions, and Transformations

For noninteger answers, please write your answer as a fraction rather than a decimal. To show your work, you will need to include the algebra used to compute the solution to any equations, the formula with substituted values, and the final calculated answer with units. See the attached file for proper formatting. ______

### Solving the Intergers Function for Graphs and for Equations

See the attached document for proper formatting. ------------------------------------------------------------ 1) State the domain of the following: 2) The graph of is shifted to obtain each the following graphs. What is the equation of the function, g(x), for each graph? Write answers in terms of x2 and/or x.

### Equations, Intergers, and Coordinates

See the attached document for proper formatting. 1) State the domain of the following: 2) The graph of is shifted to obtain each the following graphs. What is the equation of the function, g(x), for each graph? Write answers in terms of x2 and/or x. 3) Consider the following graph of y = f(x). a) If h(x) =

### Linear Functions: Inputs and Outputs

Please help me with the attached questions. See the attachment for proper formatting. 2) Find the indicated outputs for f(x)=2xsecond power -3x F(0)=_________________ F(-1)=________________ F(2)=_________________ 3) x=2 Use the graphing tool to graph the equation 4) Find an equation of the line co

### Functions and Equations - Printing Press

A printer has a contract to print 100,000 invitations for a political candidate. He can run the invitations by using any number of metal printing plates from 1 to 20 on his press. For example, if he preparates 10 plates, each impression of his press makes 10 invitations. Preparing each plate costs \$8 and he can make 1000 impress

### Slope of a line - Building Parks in a City

The number of parks, y, being built in a city over a period of time, x, is graphed on a rectangular coordinate system. Write a paragraph describing your interpretation when the slope is positive, zero, and negative. If you were buying a home in this particular city, which slope would be most attractive to you and why?

### Jump Discontinuity in Real-life

The postal service provides at least one good example of a function with jump discontinuities. What is one such function, taken from the postal service or some other real life example? (Explain why there are jump discontinuities.)

### Applications of Asymptotes

Not sure what to do with this... Can you pint me in the right direction? Consider the function f(x)=kx/(100-x), where f(x) is the cost incurred to remove x% of a pollutant from an environment. Examine the behavior near the vertical asymptote, and discuss the ramifications behind this.

### Finding discriminant, roots and graphing quadratic functions

1) Solve 6x2 + 3x - 18 = 0 using the quadratic formula. Read the information in the assignment list to learn more about how to type math symbols, such as the square root. 2) Use the graph of y = x2 + 4x - 5 to answer the following: a) Without solving the equation, use the graph to determine the solution(s) to the equat

### Equations of lines.

Determine which two equations represent parallel lines. (a) y = -7x + 5 (b) y = 7x + 5 (c) y = 1/7 x + 5 (d) y = -7x + 8 2. Write the equation of the line with x-intercept (-10, 0) and undefined slope.