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Graphs and Functions

Graphs, Equation of Line, Midpoints and Line Segments

Please see the attached file for the fully formatted problems. 1.) Find the distance between the points (4,-1) and (-5,3) 2.) Find the midpoint of the line segment with endpoints (5,-2) and (-3,12) 3.) Graph the equation 4.) 5.) Find the equation of the line with slope 0 and y-intercept (0,-2). Write your answer in t

Functions and Graphs : Sketching, Domain, Range and Asymptotes

Please see the attached file for the fully formatted problems. 1. The length of a rectangular field is 3 times its width. If fencing costs $12 per metre, express the cost, C, of fencing the field as a function of the width, w. 2. Draw a set of axes and then plot the graph of the function f(x) = 2x ?4, for ?3<x<5. 3. (i)

Systems of equations problems

1. What systems of equations can be solved by graphing or using substitution or elimination? Which method do you like best and why would it be different method. How would you answer this question? 2.Why graphing gives more visual of the problem and the elimination makes it easier to come up with the answer?

Exponential and Logarithmic Functions

1. Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case. 2. A cell divides into two identical copies every 4 minutes. How many cells will exist after 3 hours?

Graphing Linear Inequalities

When graphing a linear inequality, how do you select the area (which side of the line) that is being represented (and has to be shaded) by the inequality? Present two examples to illustrate your answer. (Use this as an opportunity to practice drawing graphs.)

Graphing a Real-Life Function and It's Asymptotes

According to the U.S department of energy, the average cost per year in electricity is 92 dollars. A new refrigerator is 550 dollars. 1. Determine the total annual cost over the life of the refrigerator for a refrigerator that lasts 15 years. Assume that the only cost associated with the refrigerator are its purchases price a

Algebra: Graphing Functions, Domains, Reflections and Shifts

Please see the attached file for the fully formatted problem(s). 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

Defining a function

Define Function f(x)=2x^3-4x^2+3x-5. possible tangent lines are y=x-5, y=2x-5,y=3x-5 a) f(x)=o b) Which line appears to be tangent to curve at point (0,-5)? at (1,-4) c) Find function for normal line to curve at point (0,-5)

Formulate the Problem of Finding Shortest Ladder

A box of dimensions a x b is standing against a wall that a ladder must lean up against, as shown in the attached picture of the scenario. Formulate the problem of finding the shortest ladder and then solve it. See the attached file.

Finding the equation of a line for the demand equation

A market research company finds that at a price of p=$20,they would sell x=42 tiles each month. If they lower the prcie to p=$10,then more people would purchase the tile,and they can expect to sell x=52 tiles in a months time. Find the equation of the line for the demand equation. The equation needs to be in the form p=mx+b.

Linear equations and inequalities..

Background: You are the financial manager of a furniture company. It is your job to create supply and demand graphs that show the break-even point for the company. The functions that describe how the company can break even will be represented with linear equations. Linear inequalities will be used to graph conditions where the

Finding domain of a function

State the domain of the following and provide a brief explanation for your answer f(x)= square( sorry can't make the symbol here) x +4 Also for m (x)= 3/x^+7 Is there any number for x that would make the denominator zero?

Solving and Graphing Equations

See attached 1. a. Solve b. Find the x-intercepts of 2. Determine the nature of the solutions of the equation 3. Find and label the vertex and the line of symmetry. Graph the function 4. The width of a rectangle is 3 ft less than the length. The area is 4 ft . Find the length and the width. 5. For the scatter

Finding vertex and points of parabola

Consider the function . a)Find h, the x-coordinate of the vertex of this parabola. b)Substitute the two integers immediately to the left and right of h into the function to find the corresponding y. Fill in the following table. Make sure your x-values are in increasing order in your table. x y h =__

How many books

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will amount to 37,920 . The variable costs will be $8.75 per book. The publisher will sell the finished product to bookstores at a

Graphing Points on a Graph using an Equation

1. Solve each system by graphing. Include all of the points on the graph. a) 3x-2y =6 3x =2y =6 b) 3y -3x =9 x-y=1 c) 4x - 5y =-2 3y-x=3 4) y= x + 4 3y-5x=6 2. Solve each system by substitution. Determine whether the equations are independent , dependent or inconsistent. a)2x-y-3 2Y=4X-6 b)

evaluate process functions

Difficulty understanding the process with functions (see attached) 5) Given the function f describe by f(x)=x+10. Find each of the following: f(0)= 7) Find the indicated outputs for f(x)=5x^2 -3x, f(0)= 8) The function H described by H(x)=2.75x+71.48 can be used to predict the height in centimeters of a women whose hume

Please see attached problems on domain, range, equations, and asymptotes

1. Write an equation that expresses the relationship. Use k as the constant of variation. d varies directly as the square of y. 2. Find the horizontal asymptote, if any, of the graph of the rational function. f(x) = 8x / (2x^2 + 1) 3. Find the domain of the rational function: g(x) = 6x / [(x-1)(x+7)] 4. Find the vertica

check whether the point is on line or not

Indicate, by checking the appropriate box, whether the given points are on line 1, on line 2, on both line 1 and line 2, or on neither one of the two lines: Line 1; 10x +13Y-5=0 Line 2; 2x +5y +11=0 Points: (-6, 5), (7, 6), (7,5)


Find the range for the group of data items 29, 32, 32, 38 The range is ___?

Evaluate functions

Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. 1. f(x) = 5x - 3 2. f(x) = x2 - 3x + 2 3. f(x) = 2x3 + 7x2 - x - 1 4. f(x) = 10x 5. f(x) = ln x

Graphs of Exponential and longarithmic functions - Refer to the graph given below and identify the graph that represents the corresponding function. Justify your answer. y = 3x and y = log3x ... [Please see the attached questions file.]

Assignment 3: Graphs of Exponential and Logarithmic Functions Refer to the graph given below and identify the graph that represents the corresponding function. Justify your answer. y = 3x y = log3x Plot the graphs of the following functions. Scan the graphs and post them to the Facilitator along with your response

Exponential function

In the formula A=I e^(kt), A is the amount of material remaining from an initial amount I at a given time t and k is negative constant determined by the nature of the material. If it has 53% of the carbon it originally contained, what is the approximate age of the artifact? (carbon decays @ a rate of 0.0125% annually.) Round

Finding time periods

Need help in solving this... The population of a city during a certain time period can be approximated by: P(x)-0.1x^5+3.2x^4+500 where x is the time in years since 1960. Need to find P(13).