Show a complete solution in solving and sketching for the graph of g(x)=x(-x+2)(x+1)(x-2)

Q: Use the graph of f(x) = 3√ x to obtain the graph of g(x) = -3√x.

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Q: Sketch the graph of g if (3x + 4)(x – 1) g(x) (2x – 5)(x – 1)

A: Given, gx=3x+4x-12x-5x-1

Q: Find a so that the point (-1,2) is on the graph of f(x)= ax2 + 4.

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Q: The profit for a product can be described by the function p (x)=202x– 5000–x² dolars maximize…

A: Follow the procedure given below.

Q: use graphs to find approximate solutions 3x - 0.5 = 0

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Q: Sketch the graph of g(x) = (3 + 2x)/(1 + x) and state its domain.

A: given,       g(x) = (3 + 2x)/(1 + x)

Q: Find the X value of the pints of inflection on F(x) = X3-6X2+12X and discuss the concavity of the…

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Q: Use a graphing utility to graph x² - 5x + 6 x - 2 x? - 4x + 3 (x) = and g(x) x - 2 What differences…

A: Solution: Consider the given functions are; f(x) = x2-4x+3x-2 f(x) = x2-3x-x+3x-2 f(x) = x-3x-1x-2…

Q: Use a graphing utility to find all the solutions to the equation on the given interval.   2x3 + x +…

A: To determine the solution of the equation using a graphing utility.

Q: Use a graphing utility to solve x3 - 3x2 - 4x + 8 = 0.Round answers to two decimal places.

A: x3 - 3x2 - 4x + 8 = 0.

Q: 11.What are the zeros of the function represented by the quadratic equa g (x) =- (x-4)?

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Q: Sketch the graph of g(x)=x2+x-6/the absolute value of x-2.

A: First we factor x^2+x-6 .

Q: What is the maximum and minimum value of x^3 - 2^x = 0

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Q: Sketch the graph of f.

A: Given function is, f(x)=-3x+3 we have to Sketch the graph,   Steps for sketching the graph  1. Find…

Q: 6) Discuss the concavity of the graph of ƒ (x) = x* – 2æ³ + 1 and find its points of inflection.

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Q: Given; f(x) = x3 - x2 - 9x + 9 , Solve; a. Use the Leading Coefficient Test to determine the graph’s…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the maximum or minimum value of the quadratic function g(x) = 2x2 + 6x + 1. The ---Select---…

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Q: 4. Find the Minimum and Maximum value of f (x) = -3x² + 2x + 5.

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Q: Sketch the graph of f (x) = 1/6x3 - 3/2x2 + 5x + 1.

A: To Sketch the graph of function f(x)=16x3-32x2+5x+1

Q: Sketch the graph of f (x) = 1/2x2 - 4x + 7.

A: fx=12x2-4x+7

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: Discuss the continuity and sketch the graph. x-2 if x1

A: as per our guidelines we can answer only 1 question do kindly repost the remaining questions…

Q: Use Graphing to solve: # 1 y= 3x – 4 Answer ( ) 1 y = --x + 3 2 4 -3 -2 3 4 -2 -3 부 15

A: We will transform the equations of the lines in axis-intercept form and solve them graphically.

Q: 19. Determine the end behavior of the graph of f(x) = 3x4 + 2x - 5

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Q: Find the absolute maximum and absolute minimum values of the function f(x) = -x3 + 12x + 6, over the…

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Q: 2. If the point (3, 27) lies on the graph of the function f(x) = x³ , what point must lie on the…

A: Given point is (3,27) Function f(x) = x3f(3) = 33 = 27 The graph is

Q: Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the…

A: Given: g(x)=2x2 To find: Vertex and equation for axis of symmetry for the given quadratic function…

Q: Use the graph method to apprroximate the root of f(x) = x³ + 3x-5, and use the provided graph paper.

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Use the function’s equation f(x) = -x2 + 14x - 106, and not its graph,to finda. the minimum or…

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Q: 8) Given f(x) = -5x² – 7x + 2, without graphing, determine whether it has a maximum value or minimum…

A: Given function is fx=-5x2-7x+2 To find: Critical point, Maximum and minimum points

Q: Give the domain and range of the quadratic function whose graph is described. Minimum= - 5 at x= 5…

A: W have to find the domain and range of the quadratic function which have a minimum of -5 at x = 5.

Q: Use the quadratic function f(x) = 4x2 - 16x + 1000.Determine, without graphing, whether the function…

A: Given quadratic equation - f(x) = 4x2-16x+1000Here we can see that, there is no square root…

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1.

A: The given function is fx=3x. The graph of the function as shown below:

Q: The axis of symmetry of the graph of f(x)=2(x+9)2-3 has equation...

A: Given,

Q: 6) Sketch the graph of f(x) = 2-ª +1 Show graph and a table of ordered pair solutions

A: Now  we will find the solution.

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1

A: Given: fx=3x, gx=3x-1 for drawing graph of given gx, first we simplify gx so, gx=3x-1=3x.3-1=3x3

Q: Create a polynomial inequality of degree 3 or higher, with the solution x E [- 8,–1]U Sketch a graph…

A: We have to create a polynomial inequality of degree 3 or more, which has solution with x∈-8,…

Q: a quadratic relation has zeros at -1 and 3, and a y-intercept of -18. Determine the equation of the…

A: We want quadratic  in vertex form. In the vertex form quadratic  equation  is of type y = a(x-h)2 +…

Q: f(x) = x2 + 10x + 7   Identify the vertex and the x-intercept(s). Use a graphing utility to verify…

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Q: Find a so that the point ( - 1, 2) is on the graph of f(x) = ax2 + 4.

A: We have to find a so that the point -1, 2 is lying on the graph of function fx=ax2+4. Since point…

Q: SOLVE FOR ALL ASYMPTOTE  IF EXIST and graph f(x) = (x^3  -27)/(x^2-9)

A: The given function is fx=x3-27x2-9. Obtain the vertical asymptotes as follows: Take the denominator…

Q: How do I graph f(x)=a(x-h)^2+k (a does not equal 0) on the conditions a< 0, h=2 and the max value…

A: Given

Q: This equation is about solving polynomial equations. In which find the correct zero for…

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Q: 6. In each case, construct a quadratic function with the specified feature(s). (a) Has x-intercepts:…

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Q: The graph of y=f(x)= ^3 √x -9 is horizontally stretched away from the y-axis by a factor of 3 to…

A: Given: y=f(x)=x3-9 To determine: Equation of new function when the graph is horizontally stretched…

Q: Given the function Y = - X^2 + 2X – 5, find its solution with X values, graph, determines the…

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Q: Find the absolute maximum value of y-81-x on the interval [-9, 9].

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Q: Use the function’s equation, f(x) = 2x2 + 12x + 703 and not its graph, to find; a. the minimum or…

A: The function is given as, fx=2x2+12x+703 a. Solve for the critical point as,…

Q: Use the vertex formula to find the vertex of the graph of the function. f(x) = 2x2 - 3x + 7 (x,…

A: Given: f(x)=2x2-3x+7