An equation representing a function that extends from quadrant 3 to quadrant 4 is а. y =x³ с. y= 2r6 b. y=-2x d. y =-5x4

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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. An equation representing a function that extends from quadrant 3 to quadrant 4 is
y =x³
y = 2x6
а.
с.
b.
y =-2x
d.
y =-5x4
2. What is the degree and lead coefficient of f(x) =-x + 5x² – 6x³ + 10?
a. degree 1 with a lead coefficient of -1
c. degree 3 with a lead coefficient of -6
8
b. degree 3 with a lead coefficient of 6
d. degree 6 with a lead coefficient of –1
3. An equation for the graph shown to the right is:
y =x'(x – 3)
с.
y=x'(x – 3)3
а.
-
b.
y=x(x – 3)³
d.
y =-x(x – 3)3
4. The graph of the function y = x* is transformed to the graph of the function y = -[2(x - 3)]ª + 1 by
a. a vertical stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up
b. a horizontal stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up
1
c. a horizontal compression by a factor of 5, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up
1
d. a horizontal compression by a factor of 5, a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up
5. State the equation of f(x) if D = {x e R|x *
2
) and the y-intercept is (0, ).
x- 1
Зх — 2
2х + 1
3x + 2
2x + 1
X+1
fx) =
b.
Ax)
с.
Ax) :
d.
Ax)
а.
Зх- 2
3x + 2
4.
Transcribed Image Text:1. An equation representing a function that extends from quadrant 3 to quadrant 4 is y =x³ y = 2x6 а. с. b. y =-2x d. y =-5x4 2. What is the degree and lead coefficient of f(x) =-x + 5x² – 6x³ + 10? a. degree 1 with a lead coefficient of -1 c. degree 3 with a lead coefficient of -6 8 b. degree 3 with a lead coefficient of 6 d. degree 6 with a lead coefficient of –1 3. An equation for the graph shown to the right is: y =x'(x – 3) с. y=x'(x – 3)3 а. - b. y=x(x – 3)³ d. y =-x(x – 3)3 4. The graph of the function y = x* is transformed to the graph of the function y = -[2(x - 3)]ª + 1 by a. a vertical stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up b. a horizontal stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up 1 c. a horizontal compression by a factor of 5, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up 1 d. a horizontal compression by a factor of 5, a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up 5. State the equation of f(x) if D = {x e R|x * 2 ) and the y-intercept is (0, ). x- 1 Зх — 2 2х + 1 3x + 2 2x + 1 X+1 fx) = b. Ax) с. Ax) : d. Ax) а. Зх- 2 3x + 2 4.
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