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answers b b c c c a b a c c ( see written answers below.) |
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8.3 |
1.
What formula best corresponds to this picture ?
(see example 2)
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a (x + 1)2 + 1 |
| b (x - 1)2
+ 1 |
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c (x + 1)2 - 1 |
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d
- (x - 1)2 + 1 |
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e nota
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2. What is the vertex (h,k) of this parabola ? (hint: complete
the square. See example 5 a. , section 8.1)
x2 + 2x + 3 |
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a (1,2) |
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b (-1,2) |
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c (0,3) |
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d (2,3) |
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e nota |
3.
What is the vertex (h,k) of this parabola ?
2x2 + 4x + 3 |
| a (1,2) |
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b (1-2) |
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c (-1,1) |
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d (0,3) |
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e nota |
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8.4 |
4. Solve for x. The ranges for the answers are below:
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| a (12,18) or (5, 11) |
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b (12,18) |
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c (5, 11) |
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d nota
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| 8.5 |
| 5. Solve the inequality : x2
+ x - 6 > 0 |
| a -3 < x < 2 |
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b x < 2 or x > 3 |
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c x < -3 or x > 2 |
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d 2 < x < 3 |
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e nota
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| 6.
Solve the inequality: (x + 3)/(x - 2) < 0
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| a -3 < x < 2 |
| b x < 2 or x > 3 |
| c x < -3 or x > 2 |
| d 2 < x < 3 |
| e nota |
| 9.1 |
7.
What formula does this graph best represent?
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a y =(0.94)x |
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b y = (1.05)x |
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c y = (1.05)-x |
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d y = 6-x |
| e nota |
8.
What formula does this graph best represent?
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a y = (1.5)-x |
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b y = (1.5)x |
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c y = 6x |
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d y = (1.6)x |
| e nota |
| 9.2 |
| 9. f(x) = 4x - 3
and g(x) = 5x2 - 2. Find
f((g(x)) |
a 20x2 - 3.
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b 20x2 - 3. |
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c 20x2 - 11. |
d 20x2 - 5.
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| e nota |
| 10. Find the inverse of f(x) =
5x - 9 |
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a 5x + 9 |
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b (x - 9)5 |
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c (x + 9)/5 |
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d nota |
| written problems |
11. A problem for you visual learners.
Sketch the inverse of the function below. Label the intercepts of the
inverse. ( See page 636. )
Answers: The inverse would be a line with the following "mirror"
intercepts: (5,0) and (0,-2). Just reflect the points across the
line y = x, just like page 636. |
12. Sec. 8.4. Solve for x: x4
- 9x2 + 20 = 0. Answers:
-2, 2
and
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