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

Lesson 8.3: Quadratic Functions: Factored Form Answers

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3

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

Question illustration
A
The function is increasing for all real values of x where x < –4.
B
The function is increasing for all real values of x where–6 < x < –2.
C
The function is decreasing for all real values of x where x –2.
D
The function is decreasing for all real values of x wherex < –4.
5

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.
9

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.
10

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.

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