construct a rational function that will help solve the problem. then, use a calculator to answer the question. an open box with a square base is to have a volume of 256 cubic inches. find the dimensions of the box that will have minimum surface area. let x=length of the side of the base  side of the base=__________in height=________in

Q: f(x) = (x2 − x − 2)/(x3 − 2x2 − 5x + 6)Solve:(a) state the domain of the function, (b) identify all…

A: (a) Consider the given function as fx=x2-x-2x3-2x2-5x+6

Q: Solve:(a) state the domain of the function, (b) identify all intercepts, (c) find any vertical or…

A: Explanation: Given that,  f(x)=-x(x-2)2   (a) Domain To find the domain of the function, we will set…

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Q: Use the rational function to find the indicated function values. If a function value does not exist…

A: The function is given by fx = x2-x-20x-7 To evaluate : The values of f5, f7, f9

Q: Find the intercepts and asymptotes, and then sketch a graph of the rational function and state the…

A: Solution:Givens(x)=2x-4x2+x-2

Q: Find the x- and y-intercepts of the rational function.

A: The given rational function is rx=x2-9x2. Let y=x2-9x2.

Q: uct a table of values and sketch the

A: Given that : The function is f(x) = 4x+ 12x+1  , [ -3, 3].

Q: Find (if possible) the rational zeros of the function. (Enter your answers as a comma-separated…

A: For cubic function try hit and trial by equating x with either -1,1 and 0 and then do synthetic…

Q: Find the intercepts and asymptotes, and then sketch a graph of the rational function and state the…

A: Consider the given function. rx=x2+2x+32x2+4x+2 To, find the x-intercepts, put y=0 in the function.…

Q: Find a rational function that might have the given graph. (More than one answer might be possible.)

A: According to the given figure, x - intercept is x = 0. Vertical asymptotes are x = 2, x = -2…

Q: Graph the rational function. Show clearly all x- and y-intercepts and asymptotes, and state the…

A: r(x)=1(x+2)2

Q: Write the domain

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Q: 12. For each rational function, find the domain, the intercepts, and any verti- cal or horizontal…

A: The given rational function can be simplified as follows.

Q: 2 4 + = 0 х —1 2-x

A: Variables can be discovered in the denominators of rational expressions, resulting in rational…

Q: 12. Write the equations of the vertical and horizontal asymptotes of the rational function. DO NOT…

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Q: Find (if possible) the rational zeros of the function. (Enter your answers as a comma-separated…

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Q: Compare and discuss the long-run behaviors of the functions below. In each blank, enter either the…

A: Compare and discuss the long-run behaviors of the functions below. In each blank, enter either the…

Q: Find (if possible) the rational zeros of the function. (Enter your answers as a comma-separated…

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Q: Write an equation of a rational function, in general form, which satisfies the following conditions:…

A: This is a problem related to function calculator. Based on the general concept we will answer the…

Q: Use the graph of the rational function to solve the inequality: 1/4(x + 2) > - 3/4(x - 2)

A: Given inequality is 14x+2>-34x-2.

Q: a) Find the domain of the rational function 2-9 f(x) = b) Solve the inequality 2 2r+1.

A: a) The given rational function is fx=x2-9x-1 To find: Domain of the rational function    b) Solve…

Q: Find (if possible) the rational zeros of the function. (Enter your answers as a comma-separated…

A:

Q: (a) Use the graph to determine any x-intercepts of the graph of the rational function. (x, y) = (…

A: Follow the procedure given below.

Q: Compare and discuss the long-run behaviors of the functions below. In each blank, enter either the…

A:

Q: STUDENT PLAYSHOP: WRITTEN WORKS As a dependable Columbanite, solve the following rational function.…

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other…

Q: The bar graph shows the population of the United States, in millions, for seven selected years.…

A: a. Write a function that models the total U.S. population, P(x), in millions, x years after 1985.

Q: Find an equation for the rational function graphed below. Leave your answer in factored form. 8. 7 6…

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Q: 1. x-2 2. f(x) = Zx+1 3.sV-2 x+5 %3D NIN

A: As per our guidelines only 3 questions can be solved. Please find the solutions below:

Q: A ball is thrown vertically upward from the ground with an initial velocity of 124 ft/sec.Use the…

A: topic - quadratic equations

Q: Find the intercepts and asymptotes, and then sketch a graph of the rational function and state the…

A: To find the x-intercepts, substitute t(x) with 0 in t(x)=x3-x2x3-3x-2 and factor x3-x2=0 to get…

Q: The regression in DESMOS using y₁ ~ Ax₁² + Bx₁ + C would try to find the best fit for the x₁/y₁ data…

A: Given that the regression in DESMOS is using y1~Ax12+Bx1+C to find the best fit for x1|y1 data…

Q: Find (if possible) the rational zeros of the function. (Enter your answers as a comma-separated…

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Q: graph and find the table of values of this rational function  f (x) 2x + 1/x-3  show ur solutions…

A: This question is based on Graphing and finding asymptotes of a function.

Q: Graph the rational function. -4x-18x-12 f(x)= 6x+9 Start by drawing the asymptotes. Then plot two…

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Q: A. Determine whether the given is Rational Function, a Rational Equation, a Rational Inequality or…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Find (if possible) the rational zeros of the function. (Enter your answers as a comma-separated…

A: Authoring guidelines:…

Q: Find the minimum or maximum value of the quadratic function. f(x) = x2 − 4x + 3

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Q: Create a rational function in standard form with the following characteristics: a. Degree of…

A: Answer

Q: Write an equation for a rational function with: Vertical asymptotes at x = -3 and x 6 x-intercepts…

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Q: Find the x- and y-intercepts of the rational function.

A: Find the x- and y-intercepts of the rational function.. tx=y=x2-x-2x-6

Q: construct a rational function that will help solve the problem. then, use a calculator to answerthe…

A: Given that:Volume of cylinder = 55 in3Cost of making top and bottom = 0.04 cents/sq. inchCost of…

Q: 8x R(x) = x - 7

A: R(x) = 8x/(x-7) The function R(x) is defined on R except  x = 7.

Q: Answer the given problem involving rational functions. Show the complete solution. Two farmers can…

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Q: Find the zeros, if any, of the rational function. (If there are no zeros, enter NONE.) G(x)= x2 –…

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Q: Consider the following. 2x x - 3 4 2 -2 2 4 8 WebAssign Plot -2 (a) Use the graph to determine any…

A: (a) by graph we know that  x-intercept is a point where graph intersect tha x-axis. So graph…

Q: find all vertical and horizontal asymptotes (if any) of the rational function…

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Q: Graph the rational function. Show clearly all x- and y-intercepts and asymptotes, and state the…

A: Given function is rx=x2-92x2+1

Q: Determine whether the given is a rational function, a rational equation, a rational inequality or…

A: The expressions: 1.  y=5x3-2x+122.  8x-8=x2x-13. x-2=44. x-1x+1=x25. gx=7x3-4x+1x2+36. 6x-5x+3≥0

Q: Graph the rational function. State and draw all aymptotes. 2 13) xf(x) = x2 - 1 10- +++> 10 x -10 -5…

A: Explanation of the answer is as follows

Q: Consider the following. y = x - 3+? -5 WebAssign Plot (a) Use the graph to determine any…

A: The graph of the function is