Posted by **Shreya** on Tuesday, January 17, 2012 at 7:42pm.

for which of following functions is graphof y = |f(x)| identical to graph of y = f(x)?

A. f(x) = 2x

B. f(x) = -2x

C. f(x) = 2x^2

D. f(x) = -2x^2

i real not get this.

- math-calculus -
**Damon**, Tuesday, January 17, 2012 at 7:47pm
has to be positive for all x

has to be an even function, same + or -

so

2 x^2

- math-calculus -
**Shreya**, Tuesday, January 17, 2012 at 8:00pm
ok can u explain to me again that i still not get it.

- math-calculus -
**Steve**, Wednesday, January 18, 2012 at 12:01am
|f(x)| is positive, but

2x can be negative

-2x can be negative

x^2 is always positive, so

-2x^2 is always negative.

The only choice which is always positive is 2x^2

so, |2x^2| = 2x^2

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