20. Use the ALGORITHM for curve sketching to sketch the graph of the function y = x³ – 7x +6 Do the necessary calculations (critical/turning points, intervals of increase/decrease, local maximum/minimum, intervals of up/down concavity, inflexion point(s)), in the dotted lines below. Leave all answers in EXACT form. Then, SKETCH using the graph on the next page.

Q: Find the relative maximum / minimum values of the function S(x)= *-2 x+2 State where the function is…

A: The given function is: f(x)=x-2x+2⇒f(x)=x+2-4x+2⇒f(x)=1-4x+2

Q: find equation for all horizontal asymptotes of graph  y = 4ex - 3x/7x - 5ex question from chapter…

A: Find the all horizontal asymptotes of the given function.Find the limit value of the function when x…

Q: Compute the abscissa of the minimum point of the curve  y = x3 - 12x -9.

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Q: 4. Use the Golden Search method to find the minimum of f(x) x2 -2sinx with interval from 10 X1 = 0…

A: clc; clear all; close all; fun = @(x) x.^2/10 - 2*sin(x); % defining function f(x) as inline xL = 0;…

Q: Estimate and classify the critical points for the graph of the function. 4. -4 1-2 4 -2

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Q: The graph of f(x) = -3(x – 3)2 - 5 is a parabola that opens --Select--- v, with its vertex at (x, y)…

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Q: The graph of f(x) = 4(x - 4)2 - 7 is a parabola that opens --Select--- v , with its vertex at (x, y)…

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Q: The graph of f(x) = 5(x – 1)2 – 6 is a parabola that opens --Select--- , with its vertex at (x, y) =…

A: Given equation  f(x) =5x-12-6

Q: Apply a sequential one-dimensional search technique to reduce the interval of uncertainty for the…

A: Use the golden section search to find the value of that function: f=6.64+1.2x-x2 which maximizes in…

Q: Two nonnegative numbers whose product is 25a² (where a 0) and whose sum is a minimum, are

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Q: ample 3: Sketch the graph of the curve y-Ax)-x-1

A: See the attachment

Q: 11. Use the guideline in §4.4 to sketch the curve: f(x) = x² ln x. A). Domain, Symmetry, Asymptotes,…

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Q: Estimate and classify the critical points for the graph of the function. 4. -4 2

A: A critical point of a function of a single real variable, f(x), is a value x0 in the domain of f…

Q: Find the minimum and maximum values of the function y = 1613 + 2412 on [1,2] by comparing values at…

A: The given function y=16t3+24t2 on 1,2

Q: 4. Find xandy intercepts, intervals of monotoncity, local extreme value, intervals of concavity,…

A: Given: f(x)=3x2x2-x-2. X-intercept: We know to find x-intercept, put y=0 : Therefore, 0=3x2x2-x-2…

Q: SKetch the graph off over the indicaed Inteval and locate all absolut and relative maxımum and…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find the absolute maximum and absolute minimum values off on the given interval. Ax) = (x²-1)°,…

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Q: Use a graphing calculator to estimate the local maximum and local minimum values of the function to…

A: Local extrema.

Q: Use the algorithm for finding extreme values to determine the ABSOLUTE MAXIMUM and ABSOLUTE MINIMUM…

A:

Q: The graph of f(x) = 3(x – 4)2 - 3 is a parabola that opens ---Select--- ♥ with its vertex at (x, y)…

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Q: 1. Use the 8 step algorithm for curve sketching to analyze the key features of the following…

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Q: Sketch the graph of a function on the interval [3,9] that has an absolute maximum at x=5 and an…

A: Ques:-   Sketch the graph of a function on the            intervel 3,9 that has as absolute…

Q: Draw the graph of f (x) = 3x +7/5x - 25 in the window [0, 25] by [0, 50]. Use the trace feature of…

A: Given: fx=3x+75x-25 in the window [0, 25] by [0, 50].

Q: Find the absolute minimum value of f(x) = + 2 In x + 5 for - < x < 5.

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Q: 11. Use the guideline in §4.4 to sketch the curve: f(x) = x² In x. A). Domain, Symmetry, Asymptotes,…

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Q: Identify the absolute minimum of g(x)=−2x2 −x+1 over [−2,4].

A: Absolute minimum:The absolute minimum of a function f on the interval [a, b] will occur either at…

Q: #6)4t graph to state the absulute and local maximum and minimum values of the function.

A: local maxima and minima values are plotted in the graph

Q: Sketch the graph of a function that has a local maximumat 2 and is differentiable at 2.

A: We have to sketch graph of function that has local maximum at 2 and is differentiable at 2. We know…

Q: Jse the guideline in §4.4 to sketch the curve: f(x) = 2x3 + 3x2 – 120x. 4). Domain, Symmetry,…

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Q: Sketch the graph of a function that has an absolute maximum, a local minimum, but no absolute…

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Q: A test program for grade 10 can generate quadratic functions in a standard form y = where a, b, c…

A: Given : y = ax2 + bx + c  where, a = {-1,1,2}, b = {0,4}, c = {0, -1}

Q: Find the exact global maximum and minimum values of the function. fu) = 4x – 4lnx for x > 0 If there…

A: If second derivative  greater than zero then minima and less than zero then minima

Q: Sketch the graph of a function f that has a local minimum value at a point c where f 1c2 is…

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Q: 2. Use the algorithm for curve sketching to sketch the function f(x) = x'- 9x + 15x + 30. Be sure to…

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Q: Sketch the graph of a function that has an absolute maximum, a local minimum, but no absolute…

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Q: Find and label as minimum or maximum the stationary points for: f(x)-x -20х+105

A: We will solve the problem

Q: Sketch the graph of a function on [-1, 2] that is discontinuous but has both an absolute maximum and…

A: There are many ways to draw the graph with given conditions. One such a graph is as shown below.

Q: Use the algorithm for finding extreme values to determine the ABSOLUTE MAXIMU OLUTE MINIMUM values…

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Q: 12. Determine the following and use algorithm to sketch the curve given by the function f(x) = x³ +…

A: The given function is f(x)=x3+6x2+9x Note:   Multiple sub parts are given, we are answered with only…

Q: (3) Construct a function defined on the closed interval [0, 1] with no maximum and minimum. Justify…

A: The Extreme Value Theorem (EVT) says: If a function f is continuous on the closed interval a ≤ x ≤…

Q: (4,28) is a maximum or a minimum point of the function g(x) = -x³ + 6x2 – 4. Verify whether the…

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Q: f(x) = }x* – }x³ – x² + 2x – 1 - -

A: We have the given function as fx=14x4-23x3-12x2+2x-1             ⋯⋯1 In order to find…

Q: 9. Find the family of the curve whose slope at any point is √x + √√x and also the member which…

A:

Q: 1. Use the guideline in §4.4 to sketch the curve: f(x) = 2x +3x2 - 120x. A). Domain, Symmetry,…

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Q: intervals

A: A function is increasing if when y is increasing with respect to x ot vice versa. Hence, Given…

Q: Sketch a graph of the piecewise defined function. -3 if x3 fx) =x y 15 15 10 10 -15 -10 -5 10 15 -15…

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Q: (4,28) is a maximum or a minimum point of the function g(x) = -x3 + 6x? – 4. Verify whether the…

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Q: Graph a function with the given properties.    1. Has a local minimum and global minimum at x = 3…

A: We have to draw a graph which has following properties,A graph has a local minimum and global…

Q: 4, Find all critical points and itentify them as local maximum points local minimum points, or…

A: The given function f(x)=x2-121

Q: c) A function with an absolute minimum at (4, -3) and a local maximum at (-2,6) 6- 4- 2- -4 d) A…

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