51-54 - Local Extrema The graph of a polynomial function isgiven. From the graph, find (a) thex- and y-intercepts, and (b) thecoordinates of all local extrema.51. P(x) = -x + 4x52. P(x) = - x²y53. P(x) = -x' + - 154. P(x) = fx* – $x-1-

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Answered: 51-54 - Local Extrema The graph of a…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.2: Polynomial Functinos And Their Graphs

Problem 52E

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Similar questions

Torricelli's Law Water in a tank will out of a small hole in the bottom when tank is nearly full than when it is nearly empty. According to Torricelli's Law, the Height h(t) of water remaining at time t is a quadratic function of t. A certain tank is filled with and allowed to drain. The height of Water is measured at different times as shown in the table. (a) Find the quadratic polynomial that best fits data. (b) Draw a graph of the polynomial from part(a) together With a scatter plot of the data. (c) Use your graph from part (b) to estimate how long it takes for the tank to drain completely.
Local extrema these exercises involve local maximaand minima of polynomial functions. Graph the function P(x)=(x2)(x4)(x5) and determine how many local extrema it has. If a < b < c, explain why the function P(x)=(xa)(xb)(xc) must have two local extrema-
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Modeling Polynomials Sketch the graph of a fifth-degree polynomial function that has a zero of multiplicity 2and a negative leading coefficient. Sketch the graph of another polynomial function with the same characteristics except that the leading coefficient is positive.
Finding a Polynomial with Specified Zeros Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and zeros 12i , and 1, with 1 a zero of multiplicity 2.
Finding a Polynomial with Specified Zeros Find a polynomial with integer coefficients that satisfies the given conditions. T has degree 4, zeros i and 1+i , and constant term 12.
Finding a Polynomial with Specified Zeros Find a polynomial of the specified degree that has the given zeros. Degree 4;zeros -2, 0, 2, 4
Number of Local Extrema Graph the polynomial, and determine how many local maxima and minima it has. y=x3x2x
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51-54 - Local Extrema The graph of a polynomial function is given. From the graph, find (a) thex- and y-intercepts, and (b) the coordinates of all local extrema. 51. P(x) = -x + 4x 52. P(x) = - x² y 53. P(x) = -x' + - 1 54. P(x) = fx* – $x -1-