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    Graphs and Functions

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    Value of functions

    Please answer the following questions to these two math questions. I need to know how to answer them and how you got the answers. Please give me a full explanation of them and show your complete work. Thanks

    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.

    Parametric equations curves

    Please see the attached file. If a = 5 and b = 4, find parametric equations for the curve that consists of all possible positions of the point P in the figure, using the angle θ as the parameter. The line segment AB is tangent to the larger circle.

    Increasing function values

    Please show me the steps to reach the solutions. See the attached file. Thanks in advance, Find the intervals on which f(x) is increasing...

    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 values of x when f(x) is given..

    Refer to the graph of the function f in the following figure. Find the value of x, where x is an integer, corresponding to the point on the graph of f located at a height of 1 unit from the x-axis.

    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 ≠ 0 The graph of: f(x) = a0 + a1x , where a1 ≠ 0 For each o

    Find the moment generating function for a Poisson random variable.

    3.86 ==== Show that the moment-generating function for the Poisson random variable with mean λ is given by M(t)= e^ ( λ( e^(t) -1) ) Ans: I started (seen below) but not sure if i'm doing it right. P(t)= E( t^(y) ) = ∑ t^(y) * ( (λ^(y)) / (y!) )* e^(-λ) = ∑ ( (t&

    Graphs for Linear Algebra Equations

    I just need the graphs of the following equations. 1. y=1 2. y=x 3. y= x^2 4. y= 1/6(x^3) 5. y= 1/x^2 6. y= sin x 7. y = cos x 8. y = ln abs(x) 9. dy/dx = ½ x + 1 10. dy/dx = y 11. dy/dx = x-y 12. dy/dx = - x/y 13. draw the solution curves for the differential equation dy/dx = x+ y At points (0,1) and (-3,0)

    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

    Find and graph the minimum average cost from the function.

    6. Suppose the cost of producing x Sharper Image Ionic Air Purifiers is given by: a. Find the minimum average cost using algebra, and showing work. b. Graph the average cost on a suitable scale from 0 to 500 units, showing the minimum value.

    Continuity and Sequential Limits

    Respected Sir / Madam, I need each and every step. please explain me in detail. In page 529 Theorem III.(I need proof). Text Book:- Taylor & Menon Theorem: - Prove that Any Bounded subset of R has a supermium and Infimum? I need proof. Thank you

    Maximizing and Minimizing Functions

    18). Find the dimensions of a cylinder of maximum volume that can inscribed in a cone with radius 12cm and height 20cm. 19). A ball is thrown upward with a velocity of 39.2 m/sec from a height of 6cm. Find A) the maximum height B) the time required to reach the maximum height C) the velocity after 8 seconds