AI Solved: 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]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.) | Polynomial functions | Mathematics | Black Tom

Part 1Graph the polynomial function f(x)equals=(xplus+22)cubed3(xminus−77) 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 Superscript 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 2,7−2,7 .(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]negative 56−56 . (Simplify your answer. Type an integer or a fraction.)Part 4(c) Determine the real 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 real zero(s) of f is/are [input]negative 2,7−2,7 .(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]33 , so the graph of f [input] crosses Your answer is correct. You answered crosses. the x-axis at xequals=[input]negative 2−2 . The greater zero is a zero of multiplicity [input]11 , so the graph of f [input] crosses Your answer is correct. You answered crosses. the x-axis at xequals=[input]77 . 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. -1010-700700xy 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 700 to 700 in increments of 70. From left to right, a curve falls first steeply and then shallowly passing through the point (negative 2, 0) before falling steeply through (0, negative 56) to a minimum at (5,negative 692), then rises through (7, 0). All coordinates are approximate. B. -1010-700700xy 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 700 to 700 in increments of 70. From left to right, a curve rises steeply through the point (negative 7, 0) to a maximum at (negative 5,692), then falls first steeply then shallowly through (0, 56) to the point (2, 0) before falling steeply again. All coordinates are approximate. C. -1010-700700xy 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 700 to 700 in increments of 70. From left to right, a curve rises first steeply and then shallowly passing through the point (negative 2, 0) before rising steeply through (0, 56) to a maximum at (5,692), then falling through (7, 0). All coordinates are approximate. D. -1010-700700xy 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 700 to 700 in increments of 70. From left to right, a curve falls steeply through the point (negative 7, 0) to a minimum at (negative 5,negative 692), then rises first steeply then shallowly through (0, negative 56) to the point (2, 0) before rising steeply again. All coordinates are approximate.

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]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 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]1,negative 41,−4 .(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]negative 16−16 .(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]1,negative 41,−4 .(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 of the function is of multiplicity [input]22 , so the graph of f [input] touches Answer touches the x-axis at xequals=[input]enter your response here . The greater zero of the function is of multiplicity [input]enter your response here , so the graph of f [input] ▼ touches crosses empty selection the x-axis at xequals=[input]enter your response here .

Part 1Write a polynomial function whose graph is shown (use the smallest degree possible.) -5-4-3-2-112345-8-6-4-22468xyleft parenthesis 1,negative StartFraction 45 Over 8 EndFraction right parenthesis1,−458left parenthesis 1,negative StartFraction 45 Over 8 EndFraction right parenthesis1,−458left parenthesis 1,negative StartFraction 45 Over 8 EndFraction right parenthesis1,−458left parenthesis 1,negative StartFraction 45 Over 8 EndFraction right parenthesis1,−458 Edit coordinates (0,0) A coordinate system has a horizontal x-axis labeled from negative 5 to 5 in increments of 0.5 and a vertical y-axis labeled from negative 8 to 8 in increments of 1. From left to right, a curve falls in quadrant 2 , crossing the x dash axis at x equals negative 4 to a minimum in quadrant 3, rises to a maximum at the point left parenthesis negative 2, 0 right parenthesis, falls and crosses the y dash axis at y equals negative 4 to a minimum in quadrant 4, rises at an increasing rate, crossing the x dash axis at x equals 2, and rises steeply in quadrant 1. The curve passes through the plotted point (1, negative StartFraction 45 Over 8 EndFraction). Part 1f(x)equals=[input]one eighth left parenthesis18( (Type your answer in factored form. Use integers or fractions for any numbers in the expression.)

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