1. If any of the linear factors of a polynomial function are squared, then which of the following is not corresponding x-intercepts? The x-intercepts are turning points of the curve. b. a. The x-axis is tangent to the curve at these points. The graph passes through the x-axis at these points. d. The graph has a parabolic shape near these x-intercepts. с. 2. Which graph is a possible sketch of the function g(x) = (x+1) (x - 2)? 30+ 30+ 24 + 24+ 18+ 18 + 12+ 12+ 6+ 6+ -54 -3 -2 2 3 4 5 r -5 -4 -3 -- -6+ 2 3 4 5 -6- -12- -12- -18 - -18+ -24 + -24 + -30+ -30 + a. с. 30+ 30 24+ 24 18+ 18+ 12+ 12+ 6+ 6+ -5 4 -3-2/-1 -6+ | 2 3 4S -3 -2 1 | 2 3 4 5 x -6- -12 -12+ -18+ -18- -24- -24 + -30+ -30 + d. Which equation is a quartic function with zeros at-4,-1, 2, 3? 1. y= (x- 4)(x-1)(x+2)(x+3) . y= (x-2)(x- 3)(x+4)(x +1) c. y = (x+ 4) (x + 1)(x – 2)°(x – 3) d. y (x+4) (x+ 1)°(x – 2)°(x – 3)² с.
1. If any of the linear factors of a polynomial function are squared, then which of the following is not corresponding x-intercepts? The x-intercepts are turning points of the curve. b. a. The x-axis is tangent to the curve at these points. The graph passes through the x-axis at these points. d. The graph has a parabolic shape near these x-intercepts. с. 2. Which graph is a possible sketch of the function g(x) = (x+1) (x - 2)? 30+ 30+ 24 + 24+ 18+ 18 + 12+ 12+ 6+ 6+ -54 -3 -2 2 3 4 5 r -5 -4 -3 -- -6+ 2 3 4 5 -6- -12- -12- -18 - -18+ -24 + -24 + -30+ -30 + a. с. 30+ 30 24+ 24 18+ 18+ 12+ 12+ 6+ 6+ -5 4 -3-2/-1 -6+ | 2 3 4S -3 -2 1 | 2 3 4 5 x -6- -12 -12+ -18+ -18- -24- -24 + -30+ -30 + d. Which equation is a quartic function with zeros at-4,-1, 2, 3? 1. y= (x- 4)(x-1)(x+2)(x+3) . y= (x-2)(x- 3)(x+4)(x +1) c. y = (x+ 4) (x + 1)(x – 2)°(x – 3) d. y (x+4) (x+ 1)°(x – 2)°(x – 3)² с.
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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Question
Transcribed Image Text:1. If any of the linear factors of a polynomial function are squared, then which of the following is not true o
corresponding x-intercepts?
The x-intercepts are turning points of the curve.
b.
a.
The x-axis is tangent to the curve at these points.
The graph passes through the x-axis at these points.
d.
с.
The graph has a parabolic shape near these x-intercepts.
2. Which graph is a possible sketch of the function g(x) = (x+ 1) (x- 2)?
30+
30 +
24 +
24 +
18+
18-
12+
12-
6+
6+
+%>
3 4 5
-54 -3 -2
-6+
2
-5 -4 -3
3
4.
-6+
-12-
-12 +
-18+
-18 +
-24 +
--24 +
-30-
-30+
a.
с.
个)
30+
30
24+
24 -
18+
18+
12+
12+
6+
6-
++
-5 -4 -3 -2 /-1
-6
I 2 3 4 5 x
-5 4 -3 -2
-1
-6+
2 3 4 5 x
-12+
-12+
-18 +
-18+
-24 -
-24 +
-30+
b.
-30 +
d.
3. Which equation is a quartic function with zeros at-4,-1, 2, 3?
a. y = (x-4)(x – 1)(x+2)(x +3)
b. y = (x-2)(x- 3)(x+4)(x+1)
c. y = (x+4) (x + 1)(x – 2)°(x – 3)
d. y= (x+4) (x + 1)°(x – 2)°(x – 3)²
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