norman93 exam 2
sarkha1
algebra_exam_2.docx|
5.0 Points |
Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (5, 3) and (5, -2)
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Use the given conditions to write an equation for each line in point-slope form. Passing through (2, -3) and perpendicular to the line whose equation is y = 1/5 x + 6.
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A. y + 8 = 5(x - 6) |
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B. y - 3 = -5(x + 20) |
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C. y + 3 = -5(x - 2) |
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D. y - 3 = -5(x + 5) |
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5.0 Points |
Evaluate each piecewise function at the given values of the independent variable.
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f(x) |
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3x + 5 if x < 0 4x + 7 if x ≥ 0 |
1. f(-2) 2. f(0) 3. f(3)
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A. 1. -1 2. 7 3. 19 |
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B. 1. -5 2. 9 3. 19 |
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C. 1. -1 2. 7 3. 21 |
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D. 1. 6 2. 7 3. 19 |
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Find the average rate of change of the function from x1 to x2. f(x) = √x from x1 = 4 to x2 = 9
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Determine whether the function is odd, even, neither, or can’t be determined: f(x) = x3 + x
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Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (4, 7) and (8, 10)
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Evaluate each function at the given values of the independent variable and simplify. f(x) = 4x + 5 1. f(6) 2. f(x + 1) 3. f(-x)
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Evaluate each function at the given values of the independent variable and simplify. f(x) = 4x + 5 1. f(6) 2. f(x + 1) 3. f(-x)
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Question 9 of 20 |
5.0 Points |
Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions. The graph of f is perpendicular to the line whose equation is 3x - 2y - 4 = 0 and has the same y-intercept as this line.
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A. f(x) = 2/3x – 4 |
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B. f(x) = -2/5x – 6 |
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C. f(x) = -2/3x – 2 |
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D. f(x) = -2/7x + 8 |
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Give the slope and y-intercept of each line whose equation is given. g(x) = -1/2x
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Give the slope and y-intercept of each line whose equation is given. f(x) = -2x + 1
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Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (4, -2) and (3, -2)
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Use the given conditions to write an equation for each line in general form. Passing through (-2, 2) and parallel to the line whose equation is 2x - 3y - 7 = 0.
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Question 14 of 20 |
5.0 Points |
Give the slope and y-intercept of each line whose equation is given. y = -3/5x + 7
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A. m = 3/4; b = -2 |
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B. m = 6; b = 7 |
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C. m = -3/5; b = 7 |
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D. m = 1; b = 8 |
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Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions. The graph of f passes through (-6, 4) and is perpendicular to the line that has an x-intercept of 2 and a y–intercept of -4.
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Use the given conditions to write an equation for each line in general form. Passing through (4, -7) and perpendicular to the line whose equation is x - 2y - 3 = 0.
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Determine whether the function is odd, even, neither, or can’t be determined: g(x) = x2 + x
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Determine whether the following equation defines y as a function of x: x + y = 16
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Give the slope and y-intercept of each line whose equation is given. y = 2x + 1
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Determine whether the function is odd, even, neither, or can’t be determined: f(x) = x√1 - x2
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