[SOLVED] How can you tell from the graph

> For each polynomial function find the following: (A) Degree of the polynomial (B) All x intercepts (C) The y intercepts ((x) = x2 - 5x + 6

> Refer to Table 5. (A) Let x represent the number of years since 1960 and find a cubic regression polynomial for the divorce rate. (B) Use the polynomial model from part (A) to estimate the divorce rate (to one decimal place) for 2025.

> n 1917, L. L. Thurstone, a pioneer in quantitative learning theory, proposed the rational function to model the number of successful acts per unit time that a person could accomplish after x practice sessions. Suppose that for a particular person enroll

> Refer to Table 4. (A) Let x represent the number of years since 2000 and findÂ a cubic regression polynomial for the per capita consumption of eggs. (B) Use the polynomial model from part (A) to estimate (to the nearest integer) the per capi

> The financial department of a hospital, using statistical methods, arrived at the cost equation C(x) = 20x3 - 360x2 + 2,300x - 1,000 1 ( x ( 12 where C(x) is the cost in thousands of dollars for handling x thousand cases per month. The average cost per

> Financial analysts in a company that manufactures DVD players arrived at the following daily cost equation for manufacturing x DVD players per day: C(x) = x2 + 2x + 2,000 The average cost per unit at a production level of x players per day is C(x) = C(x

> A company manufacturing surfboard has fixed costs of $300 per day and total costs of $5,100 per day at a daily output of 20 boards. (A) Assuming that the total cost per day, C(x), is linearly related to the total output per day, x, write an equation for

> Write an equation of the line with the indicated slope and y intercept.

> Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in the figure.

> For each rational function, (A) Find any intercepts for the graph. (B) Find any vertical and horizontal asymptotes for the graph. (C) Sketch any asymptotes as dashed lines. Then sketch a graph of f. (D) Graph the function in a standard viewing window

> Find the equations of any vertical asymptotes.

> Find the equation of any horizontal asymptote.

> Find the solution set -3y + 9 + y = 13 - 8y

> Find the equation of any horizontal asymptote.

> Compare the graph of y = -x5 to the graph of y = - x5 + 5x3 - 5x + 2 in the following two viewing windows: (A) -5 ( x ( 5, -5 ( y ( 5 (B) -5 ( x ( 5, -500 ( y ( 500

> Compare the graph of y = x3 to the graph of y = x3 - 2x + 2 in the following two viewing windows: (A) -5 ( x ( 5, -5 ( y ( 5 (B) -5 ( x ( 5, -500 ( y ( 500

> For each rational function, (A) Find the intercepts for the graph. (B) Determine the domain. (C) Find any vertical or horizontal asymptotes for the graph. (D) Sketch any asymptotes as dashed lines. Then sketch a graph of y = ((x)

> What is the minimum number of x intercepts that a polynomial of degree 6 can have? Explain.

> What is the maximum number of x intercepts that a polynomial of degree 7 can have?

> Each graph is the graph of a polynomial function. Answer the following questions for each graph: (A) What is the minimum degree of a polynomial function that could have the graph? (B) Is the leading coefficient of the polynomial negative or positive?

> Write an equation of the line with the indicated slope and y intercept. Slope = 1 y intercept = 5

> Each graph is the graph of a polynomial function. Answer the following questions for each graph: (A) What is the minimum degree of a polynomial function that could have the graph? (B) Is the leading coefficient of the polynomial negative or positive?

> For each polynomial function find the following: (A) Degree of the polynomial (B) All x intercepts (C) The y intercepts ((x) = (2x – 5)2 (x2 – 9)4

> Find the vertex form of each quadratic function by completing the square. ((x) = -5x2 + 15x - 11

> Find the vertex form of each quadratic function by completing the square. ((x) = 3x2 + 18x + 21

> Find the vertex form of each quadratic function by completing the square. ((x) = x2 - 12x - 8

> Find the vertex form of each quadratic function by completing the square. ((x) = x2 + 16x

> The table gives performance data for a boat powered by an Evinrude outboard motor. Find a quadratic regression model (y = ax2 + bx + c) for fuel consumption y (in miles per gallon) as a function of engine speed (in revolutions per minute). Estimate the f

> Refer to Problem 75. Find the distance from the center that the rate of flow is 30 centimeters per second. Round answer to two decimal places. Data from Problem 75: Find the distance from the center that the rate of flow is 20 centimeters per second. Ro

> Find the solution Set.

> Use the revenue function from Problem 70 and the given cost function: R(x) = x (2,000 - 60x) Revenue function C(x) = 4,000 + 500x Cost function where x is thousands of computers, and R(x) and C(x) are in thousands of dollars. Both functions have domai

> Use the revenue function from Problem 70, and the given cost function: R(x) = x(2,000 - 60x) Revenue function C(x) = 4,000 + 500x Cost function where x is thousands of computers, and C(x) and R(x) are in thousands of dollars. Both functions have do

> The marketing research department for a company that manufactures and sells notebook computers established the following price–demand and revenue functions: p(x) = 2,000 - 60x Price–demand function R(x) = xp(x) Revenue function = x (2,000 - 60x) where

> Using quadratic regression on a graphing calculator, show that the quadratic function that best fits the data on market share in Problem 66 is ((x) = -0.0117x2 + 0.32x + 17.9 Data from Problem 66:

> The table shows the retail market share of passenger cars from Ford Motor Company as a percentage of the U.S. market. A mathematical model for this data is given by ((x) = -0.0117x2 + 0.32x + 17.9 where x = 0 corresponds to 1980. (A) Complete the follo

> assume that a, b, c, h, and k are constants with a ( 0 such that ax2 + bx + c = a(x â h) 2 + k for all real numbers x. Show that:

> How can you tell from the vertex form y = a(x – h)2 + k whether a quadratic function has two real zeros?

> How can you tell from the standard form y = ax2 + bx + c whether a quadratic function has exactly one real zero?

> (A) Graph f and g in the same coordinate system. (B) Solve f1x2 = g1x2 algebraically to two decimal places. (C) Solve f1x2 7 g1x2 using parts (A) and (B). (D) Solve f1x2 6 g1x2 using parts (A) and (B). ((x)= -0.7x2 + 6.3x g(x) = 1.1x + 4.8 0 ( x (

> Find the slope and x intercept of the graph of each equation. 9x + 2y = 4

> Identify the graph(s) of lines with a positive slope.

> (A) Graph f and g in the same coordinate system. (B) Solve f1x2 = g1x2 algebraically to two decimal places. (C) Solve f1x2 7 g1x2 using parts (A) and (B). (D) Solve f1x2 6 g1x2 using parts (A) and (B). ((x) = -0.7x1x - 72 g(x) = 0.5x + 3.5 0 ( x (

> Given that f is a quadratic function with maximum ((x) = (( -3) = -5 , find the axis, vertex, range, and x intercepts.

> Solve graphically to two decimal places using a graphing calculator. 1.8x2 - 3.1x - 4.9 > 0

> Solve graphically to two decimal places using a graphing calculator 3.4 + 2.9x - 1.1x2 ( 0

> Solve graphically to two decimal places using a graphing calculator 7 + 3x - 2x2 = 0

> Use interval notation to write the solution set of the inequality x2 + 7x + 12 ( 0

> Use interval notation to write the solution set of the inequality (x + 6) (x – 3) < 0

> First write each function in vertex form; then find each of the following (to two decimal places): (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range n(x) = -0.15x2 - 0.90x + 3.3

> First write each function in vertex form; then find each of the following (to two decimal places): (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range m(x) = 0.20x2 - 1.6x - 1

> Let ((x) = 100x - 7x2 - 10. Find the maximum value of ( to four decimal places graphically.

> Find the solution set

> Let g(x) = -0.6x2 + 3x + 4. Solve each equation graphically to two decimal places. (A) g(x) = -2 (B) g(x) = 5 (C) g(x) = 8

> Find the vertex form for each quadratic function. Then find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range V(x) = 0.5x2 + 4x + 10

> Find the vertex form for each quadratic function. Then find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range s(x) = -4x2 - 8x - 3

> Find the vertex form for each quadratic function. Then find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range g(x) = x2 - 6x + 5

> write an equation for each graph in the form y = a(x â h) 2 + k, where a is either 1 or -1 and h and k are integers.

> Find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range n(x) = (x – 4) 2 - 3

> Find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range g(x) = - (x + 2) 2 + 3

> Find each of the following to the nearest integer by referring to the graphs. (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range Function g in the figure for Problem 14 Data from Problem 14:

> Find each of the following to the nearest integer by referring to the graphs. (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range Function m in the figure for Problem 14 Data from Problem 14:

> Find the slope and x intercept of the graph of each equation. 3x + y = 6

> Match each equation with a graph of one of the functions f, g, m, or n in the figure. (A) y = (x â 3)2 - 4 (B) y = - (x + 3)2 + 4 (C) y = - (x â 3)2 + 4 (D) y = (x + 3)2 - 4

> write a brief verbal description of the relationship between the graph of the indicated function and the graph of y = x2 . n(x) = -x2 + 8x - 9

> write a brief verbal description of the relationship between the graph of the indicated function and the graph of y = x2 . g(x) = x2 - 2x - 5

> In This problem , graph each of the functions using the graphs of functions f and g below. y = g(x â 1)

> In This problem , graph each of the functions using the graphs of functions f and g below. y = g(x) - 1

> Find the domain and range of each function.

> write the solution set using interval notation. -8 < -4x ( 12

> A production analyst has found that on average it takes a new person T(x) minutes to perform a particular assembly operation after x performances of the operation, where (A) Describe how the graph of function T can be obtained from the graph of one of t

> The average weight of a particular species of snake is given by w(x) = 463x3 , 0.2 ( x ( 0.8, where x is length in meters and w(x) is weight in grams. (A) Describe how the graph of function w can be obtained from the graph of one of the basic functions

> Table 6 shows state income tax rates for individuals filing a return in Louisiana. (A) Write a piecewise definition for T(x), the tax due on a taxable income of x dollars. (B) Graph T(x). (C) Find the tax due on a taxable income of $32,000. Of $64,000

> Table 4 shows the electricity rates charged by Monroe Utilities in the winter months. (A) Write a piecewise definition of the monthly charge w(x) for a customer who uses x kWh in a winter month. (B) Graph w(x).

> A company manufactures and sells in-line skates. Its financial department has established the price– demand function p1x2 = 190 - 0.0131x - 102 2 10 … x … 100 where p1x2 is the price at which x thousand pairs of in-line skates can be sold. (A) Describe h

> The manufacturer of the bicycle helmets is willing to supply x helmets at a price of p(x) as given by the equation p(x) = 4âx 9 ( x ( 289 (A) Describe how the graph of function p can be obtained from the graph of one of the basic funct

> Changing the order in a sequence of transformations may change the final result. Investigate each pair of transformations in this Problem to determine if reversing their order can produce a different result. Support your conclusions with specific example

> Graph involve a reflection in the x axis and/or a vertical stretch or shrink of one of the basic functions in Figure 1 on page 58. Identify the basic function, and describe the transformation verbally. Write an equation for the given graph. Figure-1:

> Find the slope and x intercept of the graph of each equation. y = -4x + 12

> Graph involve a reflection in the x axis and/or a vertical stretch or shrink of one of the basic functions in Figure 1 on page 58. Identify the basic function, and describe the transformation verbally. Write an equation for the given graph. Figure-1:

> Graph each function.

Question: How can you tell from the graph