1. An equation representing a function that extends from quadrant 1 to quadrant 3 is а. ア=2r с. y = 5x6 b. y=-6x d. y =-4x4

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 47E
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1. An equation representing a function that extends from quadrant 1 to quadrant 3 is
y = 2x3
y = 5x6
а.
с.
b.
y =-6x5
d.
y =-4x4
2. What is the degree and lead coefficient of f (x) = -2x + 5x² – 6x3 + 10?
y4
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
4
3. An equation for the graph shown to the right is:
y =x'(x – 3)
4
y = x'(x – 3)³
а.
с.
b.
y = x(x – 3)³
d.
y = -x*(x – 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
c. a horizontal compression by a factor of
1
a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up
d.a horizontal compression by a factor of
a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up
1
5. State the equation of f(x) if D = {x €R|x + } and the y-intercept is (0,
2
2x + 1
X- 1
X+ 1
2x + 1
Ax) = *
Ax) = **
а.
Ax)
Зх — 2
b.
Ax)
Зх - 2
с.
Зх + 2
d.
Зх + 2
Transcribed Image Text:1. An equation representing a function that extends from quadrant 1 to quadrant 3 is y = 2x3 y = 5x6 а. с. b. y =-6x5 d. y =-4x4 2. What is the degree and lead coefficient of f (x) = -2x + 5x² – 6x3 + 10? y4 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 4 3. An equation for the graph shown to the right is: y =x'(x – 3) 4 y = x'(x – 3)³ а. с. b. y = x(x – 3)³ d. y = -x*(x – 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 c. a horizontal compression by a factor of 1 a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up d.a horizontal compression by a factor of a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up 1 5. State the equation of f(x) if D = {x €R|x + } and the y-intercept is (0, 2 2x + 1 X- 1 X+ 1 2x + 1 Ax) = * Ax) = ** а. Ax) Зх — 2 b. Ax) Зх - 2 с. Зх + 2 d. Зх + 2
6. Use your calculator to determine the value of csc 0.71, to three decimal places.
0.012
а.
0.652
b.
1.534
с.
d.
80.700
7. Which compound angle formula is the easiest to use to develop the expression Cos a- sin e?
а.
addition formula for sine
с.
subtraction formula for sine
b.
addition formula for cosine
d.
subtraction formula for cosine
8. Which of the following expressions is NOT equivalent to sin 75°?
sin 45° + sin 30°
sin 105°
а.
с.
b.
sin(45° + 30°)
d.
sin 45° cos 30° + sin 30° cos 45°
9. Which of these is a possible solution for secx-2 = 0 in the interval x e [0,21]?
2.
X =
3
X =
3
а.
с.
b.
X =
3
d.
X =
Transcribed Image Text:6. Use your calculator to determine the value of csc 0.71, to three decimal places. 0.012 а. 0.652 b. 1.534 с. d. 80.700 7. Which compound angle formula is the easiest to use to develop the expression Cos a- sin e? а. addition formula for sine с. subtraction formula for sine b. addition formula for cosine d. subtraction formula for cosine 8. Which of the following expressions is NOT equivalent to sin 75°? sin 45° + sin 30° sin 105° а. с. b. sin(45° + 30°) d. sin 45° cos 30° + sin 30° cos 45° 9. Which of these is a possible solution for secx-2 = 0 in the interval x e [0,21]? 2. X = 3 X = 3 а. с. b. X = 3 d. X =
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