Quadratic Functions: Factored Form Answers
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The function f(x) = (x − 4)(x − 2) is shown.
A
all real numbers less than or equal to 3B
all real numbers less than or equal to −1C
all real numbers greater than or equal to 3D
all real numbers greater than or equal to −12
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What is the equation of the quadratic function with a vertex at (2,–25) and an x-intercept at (7,0)?
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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)3
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 < 6.4
Which function has only one x-intercept at (−6, 0)?
A
f(x) = x(x − 6)B
f(x) = (x − 6)(x − 6)C
f(x) = (x + 6)(x − 6)D
f(x) = (x + 6)(x + 6)5
Which function has two x-intercepts, one at (0, 0) and one at (4, 0)?
A
f(x) = x(x − 4)B
f(x) = x(x + 4)C
f(x) = (x − 4)(x − 4)D
f(x) = (x + 4)(x + 4)6
Which is the graph of f(x) = (x – 1)(x + 4)?
A
OptionB
OptionC
OptionD
Option7
The graph of the function f(x) = (x +2)(x + 6) is shown below.
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 ≤ –2.8
The graph of the function f(x) = (x + 2)(x + 6) is shown below.
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 < –6 or x > –3.D
The function is negative for all real values of x wherex < –2.9
The graph of the function f(x) = (x – 4)(x + 1) is shown below.
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 < –1 and where x > 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 < 1.5.10
Which is the graph of f(x) = –(x + 3)(x + 1)?
A
OptionB
OptionC
OptionD
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