(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 (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) The lesser zero of the function is of multiplicity . so the graph of f V the x-axis at x = The greater zero of the function is of multiplicity|, so the graph of f the x-axis at x = (d) Determine the maximum number of turning points on the graph of the function. (Type a whole number.) (e) Use the above information to draw a complete graph of the function. Choose the correct graph below. O A. OB. Oc. OD.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
Analyze the polynomial function f(x) = (x + 8)2 (2 - x) using parts (a) through (e).
Transcribed Image Text:Analyze the polynomial function f(x) = (x + 8)2 (2 - x) using parts (a) through (e).
(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) off is/are
(Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.)
The lesser zero of the function is of multiplicity , so the graph of f
V the x-axis at x=
The greater zero of the function is of multiplicity
so the graph of f
V the x-axis at x =
(d) Determine the maximum number of turning points on the graph of the function.
(Type a whole number.)
(e) Use the above information to draw a complete graph of the function. Choose the correct graph below.
OA.
OB.
OC.
OD.
Ay
Ay
300
Ay
300
300
300
Transcribed Image Text:(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) off is/are (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) The lesser zero of the function is of multiplicity , so the graph of f V the x-axis at x= The greater zero of the function is of multiplicity so the graph of f V the x-axis at x = (d) Determine the maximum number of turning points on the graph of the function. (Type a whole number.) (e) Use the above information to draw a complete graph of the function. Choose the correct graph below. OA. OB. OC. OD. Ay Ay 300 Ay 300 300 300
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