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32 questions
The function g(x), shown on the graph, was obtained by translating the graph of f(x)=x1 . Which description best describes the transformations performed on to obtain ?
Translation right 2 and up 4
Translation left 2 and up 4
Translation right 2 and down 4
Translation left 2 and down 4
What is the equation of the rational function graphed?
f(x)=x−21
f(x)=x+21
f(x)=x1+2
f(x)=x1−2
How is this function transformed from the parent function?
Translated left 5 and up 1
Translated right 5 and up 1
Translated left 5 and down 1
Translated right 5 and down 1
Which of the following parent functions have a range of [0,∞) ? Select all that apply.
Which of the following parent functions does not have a domain
(−∞,∞) ?Which of the following is the graph of y=(x−2)3−4
Which of the following is the graph of y=−(x−4)3+2
How is the graph of y=(x−5)2−2 transformed to produce the graph of y=41(x+1)2 ?
The graph is translated left 6 units, compressed vertically by a factor of 41 , and translated up 2 units.
The graph is stretched vertically by a factor of 41 , translated left 6 units, and translated up 2 units.
The graph is translated left 6 units, compressed horizontally by a factor of 41 , and translated down 2 units.
The graph is stretched horizontally by a factor of 41 , translated left 6 units, and translated down 2 units.
When x = 24, z = 4 and y = 81 , w = 36. If w varies directly with x and inversely with the product of y and z, what is the constant of variation?
43
3
21
4
6. T varies directly as the square of P and inversely as Z and T=12 when P=3 and Z=6, Which of the following is the value of the variation constant?
A. 6
B. 8
C. 10
D. 12
8. Z varies jointly with the product of y and w and inversely with the square of x. If z = 360, the product of y and w is 480, and x=4, what is the value of the constant of variation?
A. 12
B. 15
C. 18
D. 21
Solve for the constant of variation, k.
D is directly proportional to e2 and inversely proportional to f. D=12, when e=2 and f=7.
21
336
24
42
Gravitational potential energy PE is a measure of energy. PE varies directly with an object’s mass m and its height h in meters above the ground. A 58 kg object has 2273.6 joules of potential energy when it is 4 meters off of the ground. Another object has 2548 joules of potential energy at 4 meters off of the ground. What is the mass of the second object?
65 kg
637 kg
70 kg
54 kg
Z varies directly with x and the square of y. If x stays the same, but y is halved, how is Z affected?
Z is divided by four (quartered).
Z is divided by two (halved).
Z is multiplied by two (doubled).
Z is multiplied by four (quadrupled).
|3x + 6| ≥ 15
x ≥ 3 or x ≤ -3
x ≤ 7 and x ≤ -3
x ≥ 7 and x ≤ -7
x ≤ -7 or x ≥ 3
Jack solved the inequality ∣x+a∣ ____ 3 and graphed the solution shown. What is the value of a and the missing symbol in Jack's inequality.
a = 2; >
a = 2; <
a = -2; >
a = -2; <
Write the inequality in interval notation.
[-4, -1)
(-4, -1)
(-4, -1]
[-4, -1]
Solve the absolute Value inequality and graph.
A
B
C
D
Determine the vertex of the absolute value function.
(-3, -1)
(-3, 1)
(3, -1)
(3, 1)
Describe the movements.
y= −|x|+4
Left 4, Down 1
Reflect over x-axis, Down 4
Reflect over x-axis, Up 4
Right 4, Up 1
What statement is true about f(x)=−21∣x+9∣−1 ?
The graph of f(x) has a vertex of (-9, 1).
The graph of f(x) is a horizontal stretch of the graph of the parent function.
The graph of f(x) opens upward.
The graph of f(x) has a domain of x≤−1 .
The standard diameter of a golf ball is 42.67 mm.
A golf ball factory does quality control on the golf balls it manufactures. Golf balls are randomly measured to ensure the correct size. If the discrepancy in diameter is more than 0.004 mm, the production is stopped.
Which function could represent this situation?
f(x)=∣42.67−x∣
f(x)=∣x−42.67∣
f(x)=∣42.67+x∣
f(x)=∣x+42.67∣
A company manufactures a 14-ounce box of cereal. Boxes are randomly weighed to ensure the correct amount. If the discrepancy in weight is more than 0.25 ounces, the production is stopped. What is the range of acceptable values for production to continue?
13.75 to 14.25
13.75 to 14
13.15 to 14
14.14 to 14.45
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