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Graphs and Functions

Graphing a Line

Please show work for a full understanding, thanks Graph f(x) = 3x + 2

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?

Slope-Intercept Form of a Tangent Line

Write the slope-intercept form of an equation of the line tangent to the graph of g(x) = x^3 - 6x^2 + 5x + pi at its point of inflection. (^ means exponent)

Find the Equation for a Tangent Line

Please explain the steps and solution, thanks: Find an equation of the line tangent to the curve defined by the equation at the specified point: x^2/3 + y^2/3 = 2; (1,1) (^means exponent and 2/3 is the exponent)

Functions : Areas of Increase and Decrease and Extrema

Please explain and express the answer exactly, for example √3 rather than in decimal form, thanks: s(t) = -8t^9 + 9t^8 - 7 (a) Where is the function increasing? (b) Where is the function decreasing? (c) Where does the function have local maxima? (d) Where does the function have local minima? (^ means expone

Ordered Pairs

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

Interval notation

Write the sets attached using interval notation. If the set is empty, write O

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 Parabolas

Please show all steps and all plots and points to graph the parabola: To graph the parabola, plot the vertex and four additional points, two on each side of the vertex, and then click on the graph icon. See attached file for full problem description.

Identifying Graphs from Tables

X -2 -1 0 1 2 y .111 .333 1 3 9 Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function. Graph: Graph Type: Explanation:

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

Find a circuit using a Cayley digraph.

Find a circuit that passes through each vertex exactly once except that it passes through the two vertices labeled with red color exactly two times. This is the Cayley digraph of You have to follow the direct arrow. Please see the attached file for the fully formatted problems.

Graphing Conic Sections

Graph the conics r=e/(1+ecosθ) with e=0.4, 0.6, 0.8, and 1.0 on a common window. How does the value of e affect the shape of the curve?

Graphing Inequalities

I need the following inequality graphed, but most importantly, I need to see the exact points on the graph. 3x -5y > 28 I do not understand where to find the 'points' on the graph.

Graphing Hyperbolas

Sketch the graph of the equation. If there are asymptotes, give their equation. 1. (9x^2)-(4y^2)-36x+24y-36=0