University of Georgia Absolute Inequality Value Questions Response

this is algebra that needs to be done. I need it correct and fast. The math equation are some I do not understand.

Find f(h(0))
f(x) = 3x – 2
h(a) = a2 – 5
11. Evaluate the function.
Given multiple representations of relations, determine if it is a function and the f-f(x).
12. f(x) = {(2, 3) (4,0) (-1,-3) (5, -1) (0,-4) f-1(x) =
13.f(x) = { (4, -3) (0,0) (1,-2) (-4,-1) (4,-4)
f-1(x) =
15.
16.
14.
Domain Range
Domain Range
Domain Range
4
2
Nm
8
10
9
17. If g(x) is the inverse of f(x), which of the following statements is true?
a. The graph of g(x) is the reflection of the graph of f(x) over y = x
b. The graph of g(x) is the reflection of the graph of f(x) over the y- axis
c. The domain of g(x) is identical to the domain of f(x).
d. The graph of g(x) is the reflection of the graph of f(x) over the x – axis. .
7 구
a
Solve each equation.
18. 12- */+1 = 2
19.
1-7+101
= 15
3
20.
21. 7 – x – 101 = 13
318 – x = -9
Solve and graph each inequality on a number line.
22. 4[4x – 21 -8 2-72
23. -81-p+81-15-25
24. Ja- *x] > -24
25. 1-2013) – 9 2 -6
Set-up an absolute value inequality to model each of the following situations.
26. On the MAP test you originally scored a 272. To validate your high score, the school wants you to retake
According to the MAP test guidelines, you must score within 3 points of your original score.
test.
27. A factory produces cereal boxes that are supposed to be 12 Inches high, but there is an acceptable margin of error
of 0.1 inch. Create an absolute value inequality that models a situation inside the margin of error,
28. A couple invites 300 people to their wedding knowing all of them may not show-up and that some may bring along
extra people. To plan for such an event, they decide to include a tolerance of 20 people when they talk to the
caterer.
Find the inverse.
29. f(x) = 4x – 3
31. f(x) = 2x + 1
32. f(x) = **-4
30. f(x) = 2 – 3x
33. Identify the key attributes of the absolute value parent function, Sketch a graph. f(x) = 1x!
10 x
List the transformations from the function y = |x|for each situation.
36. f(x) = -x + 21 – 3
35. f(x) = }}x} + 5
34. f(x) = -41x + B1 – 1
Name:
Date:
Period:
1. Bottles manufactured in a factory must be 250 ml in volume with a tolerance of 20 ml.
Bottles that are not within the tolerated volume cannot be sold. Write an inequality that can be
used to assess which bottles are tolerable.
2. John is looking for a job after graduation. The salary which he is satisfied with must be
$3000 with a tolerance of $500. Write an inequality that can be used to assess which salary is
tolerable.
3. A type of mobile phone produced by NOKIA must be less than 8 ounces in weight with a
tolerance of 0.3 ounces. The mobiles that are not within the tolerated weight must be recycled.
Write an inequality that can be used to assess which mobiles are tolerable.
4. The weight of each fountain pen manufactured in a factory must be 10 g with a tolerance of
2 g. Pens that are not within the tolerated weight must be thrown away. Write an inequality
that can be used to assess which pens are tolerable.
5. Puddings produced at a factory must be 120g in weight with a tolerance of 5g. Puddings that
are not within the tolerated weights must be thrown away. Write an inequality that can be
used to assess which puddings are tolerable.
6. The street built in the city must be 25 feet in width with a tolerance of 0.5 feet. Streets that
are not within the tolerated widths must be repaired. Write an inequality can be used to assess
which streets are within tolerance.
Pd.
Algebra 2
CFA Review TEST 10/1
Name
1. Determine the domain & range of the graph. Use both inequality and interval notation.
a
b
C
6
—
*d:
MA
р
10 %
-10
* מו:
h(n) = 2n2 – 11
Evaluate the function give the information.
g(n) = n2 + 3
3. g(h(-2))
2. (
hg)(-2)
9-7)=7332357
h (7) = 2(0)²_1=-97
hifa=a62-1=7
ga) 9 13 752)
h(x) = x-5
g(x) = 6 – 2x
f(x) = r + 2
Use these functions for questions 4-9
4. (h-g)(x)
5. ( – g)(x)
6. (h-f(x)
‘
h = x= x=(1-3) -(6-28
g= 6-ax tar
toru
7.(-3)(-3) 35 -6
8. (g+)(-8)
9. (9-(x)
3x – 11
fl-1212=-1
96-3)=6=2(-D16
10. Evaluate the function.
g(a) = 4a-2
h(a) = a -5
Find g(h(-4))
Write the equation and determine the domain and range,
37.
38. ‘
39.
f(x) =
f(x) =
f(x) =
40. Given (x) = {x), write the equation that moves f(x) up 2, left 6, and vertically stretches it by a factor 3.
41. Given (x) = \x), write the equation that moves f(x) down 4, right 3, vertically reflects over the x – axis,
vertically compresses it by a factor of
Solve each equation and check for extraneous solutions,
42. 13x – 41 = 2 +*
43, \x – 2) = 2x – 5
45. J4x + 3) = 3 –
44. Ix – 2) = 3x + 1
1x) 53
1x) – 3
46. Graph and compare each of these expressions.