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study help
mathematics
essentials of college algebra
Questions and Answers of
Essentials Of College Algebra
Solve each equation. x = logs 25
Solve each equation. 3x 15 = log 1 (x>0, x 1)
Solve each equation.log4 x = 7/2
Solve each equation.log1/2 (x + 3) = -4
Solve each equation.log1/3 (x + 6) = -2
Solve each equation.log(x+3) 6 = 1
Solve each equation.log(x-4) 19 = 1
Solve each equation.4x - 24 = logx 1 (x > 0, x ≠ 1)
Graph each function. Give the domain and range. f(x) = log₂ (x + 3)
Graph each function. Give the domain and range. f(x) = (log 1/2 x) — 2
Graph each function. Give the domain and range.f(x) = log1/2 (x - 2)
Graph each function. Give the domain and range.f(x) = |log1/2 (x - 2)|
Graph each functionf(x) = log5 x
Graph each function. f(x) = log5 (x + 1)
Graph each function. f(x) = log1/2 (1 - x)
Given that log10 2 ≈ 0.3010 and log10 3 ≈ 0.4771, find each logarithm without using a calculator.log10 6
Given that log10 2 ≈ 0.3010 and log10 3 ≈ 0.4771, find each logarithm without using a calculator.log10 12
Given that log10 2 ≈ 0.3010 and log10 3 ≈ 0.4771, find each logarithm without using a calculator.log10 361/3
Graph each piecewise-defined function. f(x) = -2x 3x1 - 4x if x < -3 if-3≤x≤2 if x > 2
Graph each piecewise-defined function. x³ + 3 f(x) = x + 3 4+x-x² if -2 ≤x≤ 0 if 0
Graph each function. f(x) = [x² + 3 -x+4 if x < 2 if x ≥ 2
Determine the different possibilities for the numbers of positive, negative, and nonreal complex zeros of each function.f(x) = 3x4 + 2x³ – 8x² – 10x − 1
Graph each function. f(x) = [x + 1]
Graph each function. f(x) 3 (2-1/x if x < -2 if x = -2
Graph each function.f(x) = |x - 2| - 1
Graph each function. f(x) 2 35²|x|
Graph each function. f(x) = X 3 4
Graph each function. (x)8 = = 1 2 +
Graph each function. 8(x) = 北 3
Graph each function. f(x): || 1 1 5.x² 2
Describe how the graph of f(x) = -2√x + 2 - 3 can be obtained from the graphof y = √x.
Graph each function. f(x) = -2|x|
Graph each function. f(x): 1 3
Graph each function. h(x) = I 1 3 X
Graph each function.g(x) = 3x²
Graph each function. h(x): = || 1 1 2 X
Graph each function. h(x) = √4x
Graph each piecewise-defined function. f(x) = - 1/²+2 1 2 x² + 2 if x ≤ 2 if x > 2
Graph each piecewise-defined function. f(x) = 0.5x2 X x²4 - if -4 ≤x≤-2 if -2
Graph each function. f(x) = -√=x
Graph each piecewise-defined function. f(x) [x³+5 ifx≤0 1-x² if x > 0
Graph each function. f(x) = -|-x|
Graph each piecewise-defined function. 2x f(x) = -2 x²- - if -5 ≤ x < -1 if -1
Graph each piecewise-defined function. f(x) = if -3 ≤ x < -1 if -1 ≤ x ≤ 2 -2x x² + 1 1 -x³ +1 if 2
Graph each function. Give the domain and range. [x] = (x) f
Graph each function. Give the domain and range. f(x) = -[x]
Graph each function. Give the domain and range. g(x) = [2x - 1]
Graph the line satisfying the given conditions. 3 through (2, -4), m = 2/ 4
Graph each function. Give the domain and range. f(x) = [2x]
Graph each function. f(x) = (x + 1)² +3
Graph each equation.f(x) = 3
Graph each equation.y + 2 = 0
Graph each function. f(x) -4x + 2 3x - 5 if x ≤ 1 if x > 1
Graph each function. f(x) = -√x-2
Graph each function. f(x) = [x3]
Graph each function. f(x) = 2√x+1-2
Graph each function. f(x) = |x| - 3
Graph each function. f(x) = -|x|
Graph each function. f(x): Slx| 6-x if x < 3 ifx ≥ 3
Graph each rational function. f(x) || 3x + 1 x² + 7x + 10
Decide whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these. y = 1
Decide whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these.x² - y² = 0
Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of the first. x³ - 5x² + 3x + 1; x - 1
Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of the first.x³ + 6x² - 2x - 7; x + 1
Graph each rational function. f(x) || 4x - 2 3x + 1
Which choices have domain (-∞, 0) U (0, 3) U (3, ∞)?
Graph each rational function. f(x) x² + 4 x + 2
Which choices have the x-axis as a horizontal asymptote?
For each polynomial function, find all zeros and their multiplicities. f(x) = (x - 2)³ (x² - 7)
For each polynomial function, find all zeros and their multiplicities.ƒ(x) = (x + 1)² (x − 1)³ (x² - 10)
Graph each rational function. f(x) = x - zx x + 2
Graph each rational function. f(x) = x² - 9 x + 3
For each polynomial function, find all zeros and their multiplicities.f(x) = 5x² (x² - 16) (x + 5)
Graph each polynomial function. f(x) = (x - 2)² (x + 3)
Graph each rational function. f(x) x² + 2x 2x 1
Graph each polynomial function. f(x) = 2x³ + x² - x
Graph each rational function. f(x) II. 2x²5x2 x-2
Show that the real zeros of each polynomial function satisfy the given conditions.f(x) = x4 + x³ = x² + 3; no real zero less than -2
Show that the real zeros of each polynomial function satisfy the given conditions.f(x) = 3x4 + 2x³ - 4x² + x - 1; no real zero less than -2
Graph each rational function. f(x) = x² - 16 x + 4
Graph each rational function. f(x) = x4 - 5x² + 4 x424x² + 108
Graph each rational function. f(x) = (x² - 16) (3 + x) (x² - 9) (4 + x)
Graph each rational function. f(x) = x4 - 20x² + 64 x4 - 10x² + 9
Graph each function. f(x): = 1 x
Graph each function. f(x): = 2 X
Find all complex zeros of each polynomial function. Give exact values. List multiple zeros as necessary.f(x) = x³ - 14x + 8
Graph each function. f(x) = 5/3 X
Find all complex zeros of each polynomial function. Give exact values. List multiple zeros as necessary.f(x) = 2x5 + 11x4 + 16x³ + 15x² + 36x
Graph each function. f(x)= 6, -X
Find all complex zeros of each polynomial function. Give exact values. List multiple zeros as necessary.f(x) = x4 + 2x² + 1
Graph each function. f(x) = 10, -X
Fill in the blank(s) to correctly complete each sentence.If two functions f and g are inverses, then (f o g) (x) = ____ and ____ = X.
Graph each function. f(x) = 4x
Fill in the blank(s) to correctly complete each sentence.The domain of f is equal to the of f-1, and the range of f is equal to the ____ of f-1.
Graph each function.f(x) = 10-x
Graph each function. Give the domain and range.f(x) = 2x + 1
Graph each function. Give the domain and range. f(x) = 3 X +4
Graph each function. Give the domain and range. f(x)= x-4
Graph each function. Give the domain and range.f(x) = 2x - 4
Graph each function. Give the domain and range.f(x) = 2x+1
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