Determine whether the statement is true or false.Justify your answer.
The graphs of $f ( x ) = | x | + 5$ and $f ( x ) = | - x | + 5$ are identical.

A)False. $| x | \neq | - x |$
B)True. $| x | = | - x |$

Question

Determine whether the statement is true or false.Justify your answer. ​
The graphs of $f ( x ) = | x | + 5$ and $f ( x ) = | - x | + 5$ are identical.
​
A)False. $| x | \neq | - x |$
B)True. $| x | = | - x |$

Quizplus · Accepted Answer

The absolute value function has the property that $|x| = |-x|$ for all real numbers x, which means the graphs of $f(x) = |x| + 5$ and $f(x) = |-x| + 5$ will be identical.

Determine Whether the Statement Is True or False f(x)=∣x∣+5f ( x ) = | x | + 5f(x)=∣x∣+5

Determine Whether the Statement Is True or False $f ( x ) = | x | + 5$