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WEEK 3 ASSIGNMENT MA 105
WEEK 3 ASSIGNMENT MA 105
QUESTION 1
- Find 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. (0,-4), m=7
| y=7x+7 | ||
| y=7x-4 | ||
| y=7x+7 | ||
| y=-4x-4 | ||
| y=7x-7 |
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
| y=6x+6 | ||
| y=6x-6 | ||
| y=-6x-6 | ||
| y=-2x-6 | ||
| y=-2x+6 |
5 points
QUESTION 3
- Determine whether the lines are parallel, perpendicular, or neither.
| Parallel | ||
| Perpendicular | ||
| Neither |
5 points
QUESTION 4
- Evaluate the function ƒ(x) = 6x – 5 at ƒ(1)
| 2 | ||
| 1 | ||
| -1 | ||
| 0 | ||
| 3 |
5 points
QUESTION 5
| -8 | ||
| 25 | ||
| 9 | ||
| -25 | ||
| 8 |
5 points
QUESTION 6
- Does the table describe a function?
| no | ||
| yes |
5 points
QUESTION 7
| -h – 8, h≠0 | ||
| -h – 6, h≠0 | ||
| -h – 5, h≠0 | ||
| -h – 9, h≠0 | ||
| -h – 7, h≠0 |
5 points
QUESTION 8
- Find all real values of x such that ƒ(x) = 0. ƒ(x) = 42 – 6x
| 7 | ||
| 5 | ||
| 9 | ||
| 6 | ||
| 8 |
5 points
QUESTION 9
- Find all real values of x such that ƒ(x) = 0
| 5/4 | ||
| 1 | ||
| 9/8 | ||
| 7/8 | ||
| 11/8 |
5 points
QUESTION 10
- Find the domain of the function.
| All real numbers t except t≠0 | ||
| Negative real numbers t | ||
| All real numbers t such that t > 0 | ||
| Non-negative real numbers t | ||
| 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
| The average rate of change from x1=0 to x2=3 is -7 | ||
| The average rate of change from x1=0 to x2=3 is 7 | ||
| The average rate of change from x1=0 to x2=3 is -13 | ||
| The average rate of change from x1=0 to x2=3 is 13 | ||
| 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
| –5/2, 4 | ||
| –5/2, -4 | ||
| –2/5, 4 | ||
| 5/2, -4 | ||
| 5/2, 4 |
5 points
QUESTION 13
- Find (ƒ+g)(x) ƒ(x) = x+3, g(x) = x – 3
| 2x | ||
| 3x | ||
| -3x | ||
| -2x | ||
| 2x+6 |
5 points
QUESTION 14
- Find (ƒ-g)(x) ƒ(x) = x + 6, g(x) = x – 6
| 2x – 12 | ||
| 12 | ||
| 2x – 6 | ||
| 2x + 12 | ||
| 2x |
5 points
QUESTION 15
- Find (ƒg)(x) ƒ(x) = x2, g(x) = 7x – 6
| 7x3 + 6x2 | ||
| 7x3 – 6x2 | ||
| 7x2 – 6x3 | ||
| 7x2 + 6x3 | ||
| 7x – 6x2 |
5 points
QUESTION 16
- Evaluate the indicated function for ƒ(x) = x2 + 3, g(x) = x – 5 (ƒ + g)(6)
| 42 | ||
| -40 | ||
| 34 | ||
| 44 | ||
| 40 |
5 points
QUESTION 17
- find ƒ ∘ g ƒ(x) = x2, g(x) = x – 5
| x2 | ||
| (x-5)2 | ||
| (x+5)2 | ||
| x2-5 | ||
| 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
| m = 7 y-intercept (0,5) | ||
| m = -7 y-intercept: (0,5) | ||
| m=5 y-intercept: (0,5) | ||
| m = -5 y-intercept: (0,5) | ||
| m is undefined y-intercept: (0,5) |
5 points
QUESTION 19
- Plot the points and find the slope of the line passing through the pair of points (0,6), (4,0)
| m = 3/4 | ||
| m = -3/2 | ||
| m = -3/2 | ||
| m = -2/3 | ||
| m = 3/2 |
5 points
QUESTION 20
- Plot the points and find the lope of the line passing through the pair or points (11,0), (0,-9)
| m = -11/9 | ||
| m = 9/11 | ||
| m = -9/11 | ||
| m = 11/9 | ||
| m = -7/13 |
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