AnswersFL-1200710-Mathematics for College Algebra AQuadratic Functions: Factored Form

Quadratic Functions: Factored Form — Unit test Answers

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1
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Which statements about the function are true? Select two options.

A
The vertex of the function is at (1,–25).
B
The vertex of the function is at (1,–24).
C
The graph is increasing only on the interval −4< x < 6.
D
The graph is positive only on one interval, where x < –4.
E
The graph is negative on the entire interval–4 < x < 6.
2
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The graph of the function f(x) = –(x + 3)(x – 1) is shown below.

Question illustration
A
The function is positive for all real values of x wherex < –1.
B
The function is negative for all real values of x where x 1.
C
The function is positive for all real values of x wherex > 0.
D
The function is negative for all real values of x wherex –1.
3

What is the axis of symmetry of the function f(x)=−(x+9)(x−21)?

A
x=−15
B
x=−6
C
x=6
D
x=15
4

The graph of the function f(x) = (x +2)(x + 6) is shown below.

Question illustration
A
The domain is all real numbers, and the range is all real numbers greater than or equal to –4.
B
The domain is all real numbers greater than or equal to –4, and the range is all real numbers.
C
The domain is all real numbers such that –6 ≤ x ≤ –2, and the range is all real numbers greater than or equal to –4.
D
The domain is all real numbers greater than or equal to –4, and the range is all real numbers such that –6 ≤ x ≤ –2.
5

The graph of the function f(x) = (x + 2)(x + 6) is shown below.

Question illustration
A
The function is positive for all real values of x wherex > –4.
B
The function is negative for all real values of x where–6 < x < –2.
C
The function is positive for all real values of x wherex –3.
D
The function is negative for all real values of x wherex < –2.
6

Which function has a vertex at the origin?

A
f(x) = (x + 4)2
B
f(x) = x(x – 4)
C
f(x) = (x – 4)(x + 4)
D
f(x) = –x2
7

What is the midpoint of the x-intercepts off(x) = (x – 2)(x – 4)?

A
(–3,0)
B
(–1,0)
C
(1,0)
D
(3,0)
8

The graph of the function f(x) = (x – 4)(x + 1) is shown below.

Question illustration
A
The function is increasing for all real values of x wherex < 0.
B
The function is increasing for all real values of x wherex 4.
C
The function is decreasing for all real values of x where–1 < x < 4.
D
The function is decreasing for all real values of x wherex < 1.5.
9

What is the equation of the quadratic function with a vertex at (2,–25) and an x-intercept at (7,0)?

A
f(x) = (x – 2)(x – 7)
B
f(x) = (x + 2)(x + 7)
C
f(x) = (x – 3)(x + 7)
D
f(x) = (x + 3)(x – 7)
10

Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?

A
(0,6)
B
(0,–6)
C
(6,0)
D
(–6,0)
11

The atomic number of beryllium (Be) is 4, and the atomic number of barium (Ba) is 56. Which comparison is best supported by this information?

A
They are in the same group because they have similar atomic masses, but they are in different periods because they have different chemical properties.
B
They are in the same group because they have similar chemical properties, but they are in different periods because they have very different atomic numbers.
C
They are in the same group because their atomic numbers are each multiples of four, but they are in different periods because they have different chemical properties.
D
They are in the same group because they have similar atomic masses, but they are in different periods because they have very different atomic numbers.
12

Which important change in electronic devices, such as televisions and computers, is a result of the use of metalloids as semiconductors?

A
Electronic devices have become smaller.
B
Electronic devices are now more brittle.
C
Electronic devices now use more energy.
D
Electronic devices have become more expensive.
13

Which element is most likely to carry electric current easily?

A
tin (Sn)
B
sulfur (S)
C
antimony (Sb)
D
selenium (Se)
14

Atoms of arsenic (As) are often added to silicon (Si) in a process called doping to change the conductivity of the silicon. How does the addition of arsenic change the conductivity of silicon?

A
An atom of arsenic has one fewer valence electron and more electron shells than an atom of silicon, so the conductivity decreases because the arsenic atom gains an electron.
B
An atom of arsenic has one more valence electron and more electron shells than an atom of silicon, so the conductivity decreases because the arsenic atom loses the electron.
C
An atom of arsenic has one fewer valence electron and fewer electron shells than an atom of silicon, so the conductivity increases because the arsenic atom gains an electron.
D
An atom of arsenic has one more valence electron and more electron shells than an atom of silicon, so the conductivity increases because the arsenic atom loses the electron.
15

Calcium, magnesium, and strontium are near each other on the periodic table and have some characteristics in common, but they differ in chemical reactivity. Which lists these metals in order from most reactive to least reactive?

A
calcium, magnesium, strontium
B
magnesium, calcium, strontium
C
strontium, calcium, magnesium
D
strontium, magnesium, calcium

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