Question

Select the correct answer. Consider this absolute value function. f(x)= |x-5| How can function f be written as a piecewise function?

(multiple choice)

Answer 1

Answer:

Option A.

Step-by-step explanation:

An absolute value function can be written in two ways, as the absolute value sign does not allow negative values.

$|x-5|=x-5$

or

$|x-5|=-(x-5)=-x+5$

The only options with these equations are A. and D.

D. can be eliminated as the inequalities given for the piecewise function do not match f(x)

To see it visually, you can try graphing it on a calculator or internet graphing service.