Question

please?

Let f(x) = |x - 5|. Which of the following conditional statements hold true?

Check all that apply.

A. f(x) = -(x - 5) if x < 5
B. f(x) < 0 if x = 0
C. f(x) = x - 5 if x > 0
D. f(x) = x - 5 if x > 5

Answer 1

@Mertsj

Answer 2

@kevsturge

Answer 3

@ParthKohli

Answer 4

f(x) is the distance of x - 5 from 0.

Answer 5

Either -(x - 5) or x - 5

Answer 6

SO A C D ?!? @ParthKohli

Answer 7

first one is definitely true

Answer 8

what about c and d?

Answer 9

omg ur a guru! GIVE ME UR BRAIN ?

Answer 10

Lol satellite is the best member on the site.

Answer 11

c is not true. lets try it with 1 because we agree that \(1>0\) right?
\(|1-5|=|-4|=4\) but \(1-5=-4\) so that is false

Answer 12

@ParthKohli thats awseome! ur awesome too :) <3

Answer 13

truedat

Answer 14

parth is a fast answerer for sure. more accurate than i am

Answer 15

yea hes so fast! OR SHE?

Answer 16

wait so do u guys think its a and d? BECAUSE IT CANT BE B RIGHT?

Answer 17

Oh thank you satellite :) you are an old member on here so I respect you. I'm just 12 years old so no comparison.

Answer 18

Try it with D, @sktjell Absolute value means distance from zero on a number line in a nutshell

Answer 19

in any case you answers are A and D because
\[f(x) = |x-5| = \left\{\begin{array}{rcc}
-(x-5) & \text{if} & x < 5 \\
x-5& \text{if} & x \geq 5
\end{array}
\right.
\]

Answer 20

It doesn't state equal to but that still proves it.

Answer 21

tahnks @satellite73 and omg i cant believe ur 12 @ParthKohli wow i feel even more dumb lol

Answer 22

Hmm you shouldn't . Math is God's language. You should study it deeply.

Answer 23

@sktjell Have you tried using geogebra yet? I'll stop asking now. But my goodness, take it fro me, it is very helpful for the kinds of problems you're asking. :)