Math 3
Slowrex
math_3.docxFind the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m. Sketch the line.
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A. |
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y=7x+7
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B. |
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y=7x-4
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C. |
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y=7x+7
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D. |
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y=-4x-4
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E. |
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y=7x-7
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5 points
QUESTION 2
Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.
(-6,6), m=-2
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A. |
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y=6x+6 |
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B. |
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y=6x-6 |
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C. |
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y=-6x-6 |
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D. |
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y=-2x-6 |
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E. |
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y=-2x+6 |
5 points
QUESTION 3
Determine whether the lines are parallel, perpendicular, or neither.
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A. |
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Parallel |
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B. |
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Perpendicular |
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C. |
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Neither |
5 points
QUESTION 4
Evaluate the function ƒ(x) = 6x - 5 at ƒ(1)
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A. |
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2 |
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B. |
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1 |
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C. |
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-1 |
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D. |
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0 |
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E. |
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3 |
5 points
QUESTION 5
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A. |
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8 |
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B. |
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25 |
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C. |
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9 |
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D. |
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-25 |
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E. |
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8 |
5 points
QUESTION 6
Does the table describe a function?
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A. |
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no |
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B. |
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yes |
5 points
QUESTION 7
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A. |
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-h - 8, h≠0 |
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B. |
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-h - 6, h≠0 |
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C. |
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-h - 5, h≠0 |
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D. |
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-h - 9, h≠0 |
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E. |
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-h - 7, h≠0 |
5 points
QUESTION 8
Find all real values of x such that ƒ(x) = 0.
ƒ(x) = 42 - 6x
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A. |
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7 |
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B. |
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5 |
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C. |
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9 |
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D. |
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6 |
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E. |
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8 |
5 points
QUESTION 9
Find all real values of x such that ƒ(x) = 0
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A. |
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5/4 |
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B. |
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1 |
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C. |
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9/8 |
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D. |
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7/8 |
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E. |
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11/8 |
5 points
QUESTION 10
Find the domain of the function.
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A. |
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All real numbers t except t≠0 |
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B. |
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Negative real numbers t |
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C. |
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All real numbers t such that t > 0 |
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D. |
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Non-negative real numbers t |
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E. |
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All real numbers t such that t<0 |
5 points
QUESTION 11
Find the average rate of change of the function from x1=0 to x2=3
ƒ(x) = 7x + 13
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A. |
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The average rate of change from x1=0 to x2=3 is -7 |
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B. |
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The average rate of change from x1=0 to x2=3 is 7 |
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C. |
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The average rate of change from x1=0 to x2=3 is -13 |
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D. |
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The average rate of change from x1=0 to x2=3 is 13 |
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E. |
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The average rate of change from x1=0 to x2=3 is 19 |
5 points
QUESTION 12
Find the zeroes of the function algebraically.
ƒ(x) = 2x2 - 3x - 20
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A. |
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-5/2, 4 |
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B. |
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-5/2, -4 |
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C. |
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-2/5, 4 |
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D. |
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5/2, -4 |
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E. |
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5/2, 4 |
5 points
QUESTION 13
Find (ƒ+g)(x)
ƒ(x) = x+3, g(x) = x - 3
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A. |
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2x |
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B. |
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3x |
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C. |
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-3x |
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D. |
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-2x |
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E. |
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2x+6 |
5 points
QUESTION 14
Find (ƒ-g)(x)
ƒ(x) = x + 6, g(x) = x - 6
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A. |
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2x - 12 |
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B. |
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12 |
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C. |
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2x - 6 |
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D. |
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2x + 12 |
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E. |
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2x |
5 points
QUESTION 15
Find (ƒg)(x)
ƒ(x) = x2, g(x) = 7x - 6
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A. |
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7x3 + 6x2 |
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B. |
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7x3 - 6x2 |
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C. |
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7x2 - 6x3 |
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D. |
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7x2 + 6x3 |
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E. |
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7x - 6x2 |
5 points
QUESTION 16
Evaluate the indicated function for ƒ(x) = x2 + 3, g(x) = x - 5
(ƒ + g)(6)
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A. |
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42 |
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B. |
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-40 |
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C. |
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34 |
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D. |
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44 |
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E. |
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40 |
5 points
QUESTION 17
find ƒ ∘ g
ƒ(x) = x2, g(x) = x - 5
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A. |
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x2 |
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B. |
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(x-5)2 |
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C. |
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(x+5)2 |
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D. |
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x2-5 |
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E. |
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x2+5 |
5 points
QUESTION 18
Find the slope and y-intercept (if possible) of the equation of the line. Sketch the line.
y = 7x + 5
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A. |
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m = 7 y-intercept (0,5)
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B. |
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m = -7 y-intercept: (0,5)
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C. |
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m=5 y-intercept: (0,5)
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D. |
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m = -5 y-intercept: (0,5)
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E. |
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m is undefined y-intercept: (0,5)
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5 points
QUESTION 19
Plot the points and find the slope of the line passing through the pair of points
(0,6), (4,0)
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A. |
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m = 3/4 |
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B. |
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m = -3/2
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C. |
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m = -3/2
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D. |
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m = -2/3
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E. |
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m = 3/2
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5 points
QUESTION 20
Plot the points and find the lope of the line passing through the pair or points
(11,0), (0,-9)
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A. |
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m = -11/9
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B. |
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m = 9/11
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C. |
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m = -9/11
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D. |
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m = 11/9
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E. |
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m = -7/13
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