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    Graphs and Functions

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    Graphing and Tangents

    A) Graph b) Draw tangent to graph @ points where x coord. are -2, 0, and 1 c) f(x) by determining Limit h>0 f^'(x+h) - f(x) / h d) f^' (-2), f^' (0), and f^' (1) (should meet slopes in part b) f(x) = 1/2 x^2

    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

    Graphs and Limits

    Graph each function then find specified limits. Exist? f(x)=x^2 ; Find lim x--> -1 f(x) and lim x--->0 f(x)

    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?

    Parallel line with slope

    A line passing through (4, 20) and (6, y) is parallel to a line with slope -7. What is the value of y?

    Question About Plotting a Function

    Find the intercepts, slope, asymptotes, relative maxima and minima, and intervals of increase or decrease of the function and plot it. f(x) = x^4 + 2x^3

    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

    Finding the Points of Inflection

    Find the x-coordinate of the points of inflection of f(x) = 47 + 13x + 18x^ 2 + 4x^ 3 - x^ 4 -3, 1 -1, 3 -3, -1 1, 3 -4, -1 1, 4 -4,1 -1, 4 none of these.

    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 Algebra Equations and Graphing

    (u+23)^ 1/2 = 9 Graph 22) y =0.3x Since any real number can be used in place of x in y = 0.3x the domain is (-oo, oo) Since any real number can be used in place of y in y = 0.3x the range is (-oo, oo). See the attached file.

    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.