AnswersFL-1200710-Mathematics for College Algebra AAdding and Subtracting Polynomials

Quadratic Functions: Factored Form Answers

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1
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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)
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 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
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.
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.

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