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# Graphs and Functions

### Graphing Second-Order and Third-Order Rational Functions

I do not understand how to conduct these equations I Excel so that I can show a graph of each. Choose a second-order/third-order (e.g., x2/x3) and a third-order/second-order (e.g., x3/x2) rational function. Provide a graph for the second-order rational function (e.g., x2), choosing x values in the range from -10 through +10.

### maximum height when a stone is thrown upward

I am pretty sure I have a and b. I am not sure how to get the time it would be at maximum height and what the maximum height is. The path of a falling object is given by the function s = -16t^2 + v0t + s0, where represents the initial velocity in ft/sec and represents the initial height in feet. a) If a rock is thrown u

### Graphs and Linear Equations

1. The following table shows the height of a tree as it ages. In Excel, plot each point on the same graph where the first coordinate is the age of the tree and the second coordinate is the height of the tree (age, height). After plotting each point, explain if there is a linear relationship between the age and height of the tr

### Graphing Linear, Quadratic, Polynomial, Rational and Exponential Equations

Choose one equation of each type: linear, quadratic, polynomial, rational, exponential, and log. Plot each equation on the same graph. Discuss and compare the appearance of each graph. Describe the plot's shape, the effect of any constants, and behavior for very large or very small x or y.

### Graphing Inequalities with Two Variables

How do you graph linear inequalities with 2 variables.

### Parallel Lines

Suppose the government mandated gasoline prices to remain constant at \$4.26 per gallon everywhere across the country, restricting gas stations from increasing the price in the future. The law will take effect in 2012. Is there an equation that would illustrate the price of gas under the new law? Is there an equation that i

### Intersecting, Parallel or Perpendicular Lines

The line y=0.15x + 0.79 represents an estimate of the average cost of gasoline each year. The line 0.11x-y=-0.85 estimates the price of gasoline in January of each year. Will the lines be intersecting, parallel, or perpendicular?

### Description of Objective Function

The Mico soft drink company makes two kinds of beverages: regular and diet. Their limited resources are the time it takes to make the drinks (8 hours = 480 minutes per day) and syrup (as an ingredient) limited to 675 gallons per day. The regular box of drinks requires 2 minutes and 5 gallons of syrup, while a diet box needs 4 mi

### Find an equation of the tangent line to the graph.

Please help with the following algebra-related multiple choice problems. Find an equation of the tangent line to the graph of the relation given by x2 - xy + y2 = 7 at the point (2, 3) . x + 4y - 14 = 0 4x + y - 11 = 0 11x + 4y - 34 = 0 7x + 3y - 23 = 0 17x + 8y -

### Equation for the tangent line to a graph.

Please choose the correct answer and indicate final answer. 11. f(x) = (x + 4)^1/2. An equation for the tangent line to the graph of f(x) at the point where x = 77 would be x - 6y + 13 = 0 x - 8y + 20 = 0 x - 10y + 29 = 0 x - 12y + 40 = 0 x - 14y + 53 = 0 x

### Maximum Value of Functions

A jewelry floor safe with a square base is to be made so as to have a total volume of 648 cubic inches. The side material for the safe costs \$1 per square inch. The material for the top costs \$4 per square inch while the material for the bottom costs \$2 per square inch. What, in inches, would be the height of the most economical

### Slope Predictor Formula and limits

See attached file for full problem description. 1. Apply the slope predictor formula to find the slope of the line tangent to y = f(x) = (2x + 4)^2 - (2x -4)^2. Then write the equation of the line tangent to the graph of f at the point (3, f(3)). 2. Find all points on the curve y = (x+4)(x-5) at which the tangent line is horiz

### Comparing Graphs of Equalities and Inequalities

You are preparing for an upcoming sales meeting and need to create and compare various supply and demand graphs that show the break-even point for the company. You have already compared the graphs of linear equations with those of linear inequalities. Now you will make the same comparison with financial numbers. Consider firs

### Solving Systems of Equations by Graphing

Solve the system by graphing. x + y = 3 x + y = -1

### Solving Systems of Linear Inequalities by Graphing

Solve the following system of linear inequalities by graphing. x - 2y &#8805; 4 x &#8804; 4

### What is the difference between the graph of a linear equation and a linear inequality?

Consider first a linear equation of the form 2x - 5y = 8. Now choose a linear inequality of the form 5y < 2x - 8 or 5y > 2x - 8. What are the major differences between the linear equation graph and the linear inequality graph?

### Is a Series a Function?

Using the index "n" of the partial sums of a series as the domain, and the value of the corresponding partial sums of the series "Sn" as the range, is a series a function? I specifically need to know if a series is function when used as a domain and range.

### Ordered Pairs

Complete the ordered pairs for the equation y = 7x + 7. (?,0), (3/7,?), (0,?), (-3/7,?)

### Diagonal Distance Across a Square

A boxing ring is in the shape of a square, 20 ft on each side. How far apart are the fighters when they are in opposite corners of the ring?

### Graphing and Line Equations

Write the equation of the line passing through each of the given points with the indicated slope. Give your results in slope-intercept form, where possible. See attached file for full problem description. Section 7.3 pp.634-636 6 (rewrite into standard form) 20,24,36,40,52 Write the equation of the line pa

### Graphing and Equations of Lines

Find the slope and y-intercept of the line represented by each of the following equations. See attached file for full problem description. Find the slope and y-intercept of the line represented by each of the following equations. 12. Or 3Y = 2X - 6 Or Y = (2/3) X - 2 Slope = 2/3 y-intercept = -2 Write the eq

### Find an equation in slope-intercept form (where possible) for each line.

Find an equation in slope-intercept form (where possible) for each line. Through (-2,6), perpendicular to 2x-3y=5 Use slope to show that the square with vertices at (-2, 5) (4,5), (4 -1) and (-2,1) has diagonals that are perpendicular Graph each equation. 2x-3y= 12 Exercise To achieve the maximum benefit for the hear

### Applications of Graphing

Section 6.1, pp. 510-511 24, 46, 48 Complete the ordered pairs so that each is a solution for the given equation. 24. ( 0,), 46. Science and medicine. Celsius temperature readings can be converted to Fahrenheit readings using the formula . .

### 9 geometry problems

1. Angles ABC and CBD are complementary and the measure of CBD is twice of the measure of ABC. Angles ABD and DBE are supplementary angles. a) Draw a sketch illustrating these angles. b) Determine the measure of ABC. c) Determine the measure of DBE. 2. Form the converse of each of the following statements. State whether

### Various Problem in Group Project

1) An open-top box is to be constructed from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and folding up the flaps. Let x denote the length of each side of the square to be cut out. a) Find the function V that represents the volume of the box in terms of x. b) Graph this function and s

### Relations and Functions

In the real world, what might be a situation where it is preferable for the data to form a relation but not a function? There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. You are given the following data points: Fahrenheit Celsius Freezing point of water 32 0 Boil

### Real Life Examples of Line, Parabola, Hyperbola and Exponential Graphs

Using the Library, web resources, and other course materials, find a real-life application of each graph. Relate the application to the specific graph (line, parabola, hyperbola, exponential). Describe the characteristics of each application as related to the graph.

### Determine whether the diagram given in part 1 is a graph. Find the chromatic number of the graph given in part 2, and the number of colors needed to color the regions of the graph in part 3 (to ensure that adjacent regions have different colors).

The three questions are stated in an attached .doc file (1.doc). In part 1, a diagram is given, and whether the object depicted in the diagram is a graph is to be determined. In part 2, a graph is given and its chromatic number is to be determined. In part 3, a graph is given and the number of colors needed to color the

### Undefined Tangent Values and Latitude

1. Consider the graph of y = tan x. (a) How does it show that the tangent of 90 degrees is undefined? (b) What are other undefined x values? (c) What is the value of the tangent of angles that are close to 90 degrees (say 89.9 degrees and 90.01 degrees)? (d) How does the graph show this? 2. A nautical mile depends on lat

### Graphing, Trends and Forecasting : Cancer and Heart Disease

You have been invited to present statistical information at a conference. To prepare, you must perform the following tasks: The following data was retrieved from www.cdc.gov. It represents the number of deaths in the United States due to heart Disease and cancer in each of the years; 1985, 1990, 1995, and 2002. Year