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Homework:Homework 8
Multiple fill-in-the-blank
Part 1Is the expression 4 x cubed minus 3.6 x squared minus StartRoot 2 EndRoot4x3−3.6x2−2 a polynomial? If so, what is its degree? Part 1Select the correct answer below and, if necessary, fill in the answer box to complete your choice. A. It is a polynomial of degree [input]enter your response here .(Type a whole number.) B. It is not a polynomial.
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Question restatement: Is the expression 4x^3 − 3.6x^2 − √2?4x^3 − 3.6x^2 − 2 a polynomial? If so, what is its degree? Answer options are: A. It is a polynomial of degree [input] (enter a whole number). B. It is not a polynomial.
Option A analysis: This option claims the expression is a polynomial and asks for its degree. To determine the degree, identify the highest power of x......Login to view full explanationLog in for full answers
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Part 1Graph the polynomial function f(x)equals=negative 4 left parenthesis x plus 2 right parenthesis left parenthesis x minus 2 right parenthesis cubed−4(x+2)(x−2)3 using parts (a) through (e). Part 1(a) Determine the end behavior of the graph of the function.The graph of f behaves like yequals=[input]negative 4 x Superscript 4−4x4 for large values of StartAbsoluteValue x EndAbsoluteValuex.Part 2(b) Find the x- and y-intercepts of the graph of the function.The x-intercept(s) is/are [input]negative 2, 2−2, 2 .(Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.)Part 3The y-intercept is [input]6464 .(Simplify your answer. Type an integer or a fraction.)Part 4(c) Determine the zeros of the function and their multiplicity. Use this information to determine whether the graph crosses or touches the x-axis at each x-intercept.The zero(s) of f is/are [input]negative 2,2−2,2 .(Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.)Part 5The lesser zero is a zero of multiplicity [input]1 1, so the graph of f [input] crosses Your answer is not correct. The correct answer is crosses. You answered touches. the x-axis at xequals=[input]negative 2 −2. The greater zero is a zero of multiplicity [input]3 3, so the graph of f [input] crosses Your answer is correct. You answered crosses. the x-axis at xequals=[input]2 2.Part 6(d) Determine the maximum number of turning points on the graph of the function.[input]33 (Type a whole number.) Part 7(e) Use the information to draw a complete graph of the function. Choose the correct graph. A. -1010-600600xy Edit coordinates (0,0) A coordinate system has a horizontal x-axis labeled from negative 10 to 10 in increments of 2 and a vertical y-axis labeled from negative 600 to 600 in increments of 60. From left to right, a curve falls at a decreasing rate, is horizontal when passing through the point (negative 2, 0), falls at an increasing rate and then at a decreasing rate passing through the point (0, negative 64) to a local minimum in quadrant 4, and then rises at an increasing rate passing through the point (2, 0). B. -1010-600600xy Edit coordinates (0,0) A coordinate system has a horizontal x-axis labeled from negative 10 to 10 in increments of 2 and a vertical y-axis labeled from negative 600 to 600 in increments of 60. From left to right, a curve falls at a decreasing rate passing through the point (negative 2, 0) to a local minimum in quadrant 3, rises at an increasing rate and then at a decreasing rate passing through the point (0, negative 64), is horizontal when passing through the point (2, 0), and then rises at an increasing rate. C. -1010-600600xy Edit coordinates (0,0) A coordinate system has a horizontal x-axis labeled from negative 10 to 10 in increments of 2 and a vertical y-axis labeled from negative 600 to 600 in increments of 60. From left to right, a curve rises at a decreasing rate, is horizontal when passing through the point (negative 2, 0), rises at an increasing rate and then at a decreasing rate passing through the point (0, 64) to a local maximum in quadrant 1, and then falls at an increasing rate passing through the point (2, 0). D. -1010-600600xy Edit coordinates (0,0) A coordinate system has a horizontal x-axis labeled from negative 10 to 10 in increments of 2 and a vertical y-axis labeled from negative 600 to 600 in increments of 60. From left to right, a curve rises at a decreasing rate passing through the point (negative 2, 0) to a local maximum in quadrant 2, falls at an increasing rate and then at a decreasing rate passing through the point (0, 64), is horizontal when passing through the point (2, 0), and then falls at an increasing rate.
Part 1Graph the polynomial function f(x)equals=(xminus−11)(xplus+44)squared2 using parts (a) through (e). Part 1(a) Determine the end behavior of the graph of the function.The graph of f behaves like yequals=[input]x cubedx3 for large values of StartAbsoluteValue x EndAbsoluteValuex.Part 2(b) Find the x- and y-intercepts of the graph of the function.The x-intercept(s) is/are [input]enter your response here .(Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.)
Part 1Form a polynomial whose zeros and degree are given.Zeros: minus−44, 44, 88; degree: 3 Part 1A polynomial with integer coefficients and a leading coefficient of 1 is f(x)equals=[input]enter your response here . (Simplify your answer.)
Part 1Determine whether the following function is a polynomial function. If the function is a polynomial function, state its degree. If it is not, tell why not. Write the polynomial in standard form. Then identify the leading term and the constant term. f(x)equals=22xplus+x cubedx3 Part 1Determine whether f(x) is a polynomial or not. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. It is not a polynomial because the variable x is raised to the [input]enter your response here power, which is not a nonnegative integer.(Type an integer or a fraction.) B. It is a polynomial of degree [input]enter your response here .(Type an integer or a fraction.) C. It is not a polynomial because the constant term is absent.
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