Can anyone fully explain tthe following textbook questions. I have studied and studied but I'm just not getting it. Thanks so much!
LOGORITHMS
X log Y = Z
log X + log Y – log Z
logz (X –Y)
logz (X + Y)
logz X + logz Y
Yx = Z
Xz = Y
YZ = X
1. Match the above expressions with:
a. log (XY/Z)
b. logz (XY)
c. logx (Y) = Z
d. log (Yx) = Z
FUNCTIONS
1. f(x) = 8x2 – 4x – 5 - match the range value for ½.
2. Match the corresponding vertical asymptotes with the equations
x = -3, x = 2
x = -2, x = 2
x = 3, x = -2
x = 0
a. x/(x^2-4)
b. 1/x
c. 5/x^2
d. (3x)/(x^2-x-6)
3. The domain of a function is restricted to x > 0. Which of the following possesses an inverse function with such a restriction on the domain?
a. f(x) = (x + 5)^2
b. f(x) = ?x
c. f(x) = ?x + 5
d. f(x) = x^2 + 5
4. f(x) = 3 – 4 What is the inverse of f? Select one
x
a. f -1(x) = -3 + 4
x
b. f -1(x) = - 4
x-3
c. f -1(x) = 3
x-4
d. f -1(x) = -4- x
3
e. f -1(x) = x -3
4
GEOMETRIC/GRAPH
a+ 1 = b + 4 1. Which statement does the given show to be true?
5 2
a >b
a<b
a<2b
b>2a
a = b
2. The graph of a linear function is represented by 3x +6y +9 = 0 Which of the following data represents the same graph?
a. Y = -2x + 3
b. Line passing through points (-1,-1), (1,-2), and (3,-3).
c. x + 2y = -3
d. Line passing through points (1,-1), (1,1), and (2,3)
e. y = - 1/2x – 3/2
f. Line passing through points (1,-1), (5,-4), and (7,-5)
3. Match the measure with the volume of each solid below
Cone M; height = h, radius of based = 6
Sphere M: radius = a
Pyramid R: area of the base = 12, height = h
Cylinder S: height = 8, radius of the base = a
Rectangular Solid T: dimensions = 6, 8, and h
a. 48h
b. (4 pi a^3)/3
c. 4h
d. 12 pi h
LOGORITHMS
X log Y = Z
log X + log Y – log Z
logz (X –Y)
logz (X + Y)
logz X + logz Y
Yx = Z
Xz = Y
YZ = X
1. Match the above expressions with:
a. log (XY/Z)
b. logz (XY)
c. logx (Y) = Z
d. log (Yx) = Z
FUNCTIONS
1. f(x) = 8x2 – 4x – 5 - match the range value for ½.
2. Match the corresponding vertical asymptotes with the equations
x = -3, x = 2
x = -2, x = 2
x = 3, x = -2
x = 0
a. x/(x^2-4)
b. 1/x
c. 5/x^2
d. (3x)/(x^2-x-6)
3. The domain of a function is restricted to x > 0. Which of the following possesses an inverse function with such a restriction on the domain?
a. f(x) = (x + 5)^2
b. f(x) = ?x
c. f(x) = ?x + 5
d. f(x) = x^2 + 5
4. f(x) = 3 – 4 What is the inverse of f? Select one
x
a. f -1(x) = -3 + 4
x
b. f -1(x) = - 4
x-3
c. f -1(x) = 3
x-4
d. f -1(x) = -4- x
3
e. f -1(x) = x -3
4
GEOMETRIC/GRAPH
a+ 1 = b + 4 1. Which statement does the given show to be true?
5 2
a >b
a<b
a<2b
b>2a
a = b
2. The graph of a linear function is represented by 3x +6y +9 = 0 Which of the following data represents the same graph?
a. Y = -2x + 3
b. Line passing through points (-1,-1), (1,-2), and (3,-3).
c. x + 2y = -3
d. Line passing through points (1,-1), (1,1), and (2,3)
e. y = - 1/2x – 3/2
f. Line passing through points (1,-1), (5,-4), and (7,-5)
3. Match the measure with the volume of each solid below
Cone M; height = h, radius of based = 6
Sphere M: radius = a
Pyramid R: area of the base = 12, height = h
Cylinder S: height = 8, radius of the base = a
Rectangular Solid T: dimensions = 6, 8, and h
a. 48h
b. (4 pi a^3)/3
c. 4h
d. 12 pi h