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A function f(x) is defined for all real numbers by the expre

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A function f(x) is defined for all real numbers by the expre [#permalink] New post 14 May 2019, 01:08
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A function f(x) is defined for all real numbers by the expression (x – 1.5)(x – 2.5)(x – 3.5)(x – 4.5). For which one of the following values of x, represented on the number line, is f(x) negative?

(A) Point A

(B) Point B

(C) Point C

(D) Point D

(E) Point E

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[Reveal] Spoiler: OA

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Re: A function f(x) is defined for all real numbers by the expre [#permalink] New post 14 May 2019, 13:56
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Recognize that for any product to be negative there must be an odd number of negative multiplicands. Check the choices to see which results in an odd number of negative values.

For Choice A: All four values are < 0 --> Negative x Negative x Negative x Negative will result in a product > 0 | Eliminate Choice A
For Choice B: x - 1.5 is the only value > 0 --> Positive x Negative x Negative x Negative will result in a product < 0 | Select Choice B

Since one choice works, you can stop testing at this point.
Re: A function f(x) is defined for all real numbers by the expre   [#permalink] 14 May 2019, 13:56
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A function f(x) is defined for all real numbers by the expre

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