Determine whether the following equation defines y as a function of x:
x + y = 16
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A. Y is a function of x.
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B. Y is not a function of x.
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C. X is a function of y.
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D. X is not a function of y.
Determine whether the function is odd, even, neither, or can’t be determined:
g(x) = x2 + x
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A. Even
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B. Odd
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C. Neither
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D. Can’t be determined
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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A. 1/5
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B. 1
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C. 2
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D. ¼
Give the slope and y-intercept of each line whose equation is given.
g(x) = -1/2x
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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 = -1/2; b = 0
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D. m = 1; b = 8
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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A. f(x) = -1/2x + 1
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B. f(x) = -1/5x + 3
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C. f(x) = 1/5x - 3
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D. f(x) = -2/5 x + 1
Use the given conditions to write an equation for each line in point-slope form.
Passing through (-8, -10) and parallel to the line whose equation is y = -4x + 3.
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A. y + 10 = -4(x + 8)
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B. y + 11 = 4(x2 + 8)
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C. y - 12 = -5(x + 20)
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D. y + 14 = -4(x - 5)
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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A. 3x - 3y + 11 = 0
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B. 2x - 3y + 10 = 0
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C. 6x - 4y + 12 = 0
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D. 2x - 5y + 15 = 0
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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A. 6x - y - 1 = 0
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B. 4x + y + 1 = 0
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C. 7x - y + 2 = 0
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D. 2x + y - 1 = 0
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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A. 1. 27
2. 5x + 9
3. -4x + 8
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B. 1. 35
2. 4x + 9
3. -7x + 5
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C. 1. 29
2. 4x + 9
3. -4x + 5
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D. 1. 29
2. 3x + 8
3. 4x + 6
Evaluate each function at the given values of the independent variable and simplify.
g(x) = x2 + 2x + 3
1. g(-1)
2. g(x + 5)
3. g(-x)
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A.
1. 2
2. x2 + 12x + 38
3. x2 - 2x + 3
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B.
1. 4
2. x2 + 6x + 38
3. x2 - 3x +5
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C.
1. 7
2. x2 + 7x + 56
3. x2+ 4x + 7
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D.
1. 5
2. x2 -12x + 38
3. x2+ 5x + 7
Evaluate each piecewise function at the given values of the independent variable.
f(x) = 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
Determine whether the function is odd, even, neither, or can’t be determined:
h(x) = x2 – x4
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A. Even
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B. Odd
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C. Neither
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D. Can’t be determined
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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A. 1; rises
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B. 4; fall
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C. 0; horizontal
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D. 0; vertical
Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions.
The graph of f passes through (-1, 5) and is perpendicular to the line whose equation is x = 6.
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A. f(x) = 6
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B. f(x) = 8
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C. f(x) = 3
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D. f(x) = 5
Evaluate each piecewise function at the given values of the independent variable.
g(x) = x + 3 if x ≥ -3
-(x + 3) if x < -3
1. g(0)
2. g(-6)
3. g(-3)
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A. 1. -1
2. 7
3. 19
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B. 1. 3
2. 3
3. 0
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C. 1. -7
2. 9
3. 2
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D. 1. 9
2. 7
3. 19
Find the average rate of change of the function from x1 to x2.
f(x) = x2 + 2x from x1 = 3 to x2 = 5
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A. 10
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B. 15
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C. 4
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D. 25
Determine whether the following equation defines y as a function of x:
x2 + y = 16
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A. Y is not a function of x.
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B. X is a function of y.
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C. X is not a function of y.
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D. Y is a function of x.
Find the average rate of change of the function from x1 to x2.
f(x) = 3x from x1 = 0 to x2 = 5
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A. -4
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B. 8
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C. 2
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D. 3
Give the slope and y-intercept of each line whose equation is given.
y = 2x + 1
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A. m = 3; b = 4
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B. m = 5; b = 1
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C. m = 6; b = 7
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D. m = 2; b = 1
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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A. 1; rises
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B. 4/9;horizontal
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C. Undefined; vertical
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D. Undefined; falls
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