3. Match the polynomial functions to the graphs below, (a is a positive constant). (I) f(2) = -a(x - 3)2(r + 2)4 (II) f(x) = a(x + 2)*(r - 2)(x - 4) (III) f(x) = -a(x - 1) (r+ 4)(x- 6) (IV) f(x) = a(x? - 1)(x² – 9) (V) f(x) = ax (r + 5)(x +3)(r- 2) (VI) f(x) = a(x2 + 1)(x- 2)(r-4) %3D %3D 4 3 3 -7-6 5-4-8-2, -2 -3 -4 -5 3 45 6 7 -7-6-5-4-3–2-1 12345 67 -2 76
3. Match the polynomial functions to the graphs below, (a is a positive constant). (I) f(2) = -a(x - 3)2(r + 2)4 (II) f(x) = a(x + 2)*(r - 2)(x - 4) (III) f(x) = -a(x - 1) (r+ 4)(x- 6) (IV) f(x) = a(x? - 1)(x² – 9) (V) f(x) = ax (r + 5)(x +3)(r- 2) (VI) f(x) = a(x2 + 1)(x- 2)(r-4) %3D %3D 4 3 3 -7-6 5-4-8-2, -2 -3 -4 -5 3 45 6 7 -7-6-5-4-3–2-1 12345 67 -2 76
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![3. Match the polynomial functions to the graphs below, (a is a positive constant)
(1) f(x) = -a(x – 3) (x + 2)*
(II) f(x) = a(x + 2)*(r – 2)(x - 4)
(III) f(z) = -a(x – 1) (r+ 4)(x - 6)
(IV) f(x) = a(x² – 1)(x² – 9)
(V) f(x) = ax (x + 5)(x +3)(r- 2)
(VI) f(x) = a(x?+ 1)(x - 2)(x - 4)
6
5
5-
4
4
2
-7–6-5-4-3–2-1+
2+
-7-6-5-4-B-2-
3 456 7
12345
3
-5
(a)
(d)
4
3.
-7-6-5–4-8-%1
-2
-3
-4
-5
45 6 7
-7-6-5-4-3-2-1
1234
5 6 7
-4
-5-
-6
-7
(b)
9.
5
9.
5
4
3
2.
3.
-7-6-5-4-3–2-N 1 2/345
-7-6–5–43–2-1
5 67
(c)
(f)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc47ac631-c08b-49f2-8335-76ca867cce53%2F2a1e1022-90c3-4a9e-922f-911d6cbff44d%2F8yby0y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Match the polynomial functions to the graphs below, (a is a positive constant)
(1) f(x) = -a(x – 3) (x + 2)*
(II) f(x) = a(x + 2)*(r – 2)(x - 4)
(III) f(z) = -a(x – 1) (r+ 4)(x - 6)
(IV) f(x) = a(x² – 1)(x² – 9)
(V) f(x) = ax (x + 5)(x +3)(r- 2)
(VI) f(x) = a(x?+ 1)(x - 2)(x - 4)
6
5
5-
4
4
2
-7–6-5-4-3–2-1+
2+
-7-6-5-4-B-2-
3 456 7
12345
3
-5
(a)
(d)
4
3.
-7-6-5–4-8-%1
-2
-3
-4
-5
45 6 7
-7-6-5-4-3-2-1
1234
5 6 7
-4
-5-
-6
-7
(b)
9.
5
9.
5
4
3
2.
3.
-7-6-5-4-3–2-N 1 2/345
-7-6–5–43–2-1
5 67
(c)
(f)
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