Analyze the polynomial function f(x) =x-(x- 2) using parts (a) through (e).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Analyze the polynomial function f(x) = x(x- 2) using parts (a) through (e).
Transcribed Image Text:Analyze the polynomial function f(x) = x(x- 2) 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) 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
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.
O A.
В.
OC.
OD.
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) 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 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. O A. В. OC. OD.
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