Select the graph of the function and determine whether it is even,odd,or neither.
F(x)= |x + 6|

A) Even
B) Odd
C) Neither
D) Odd
E) Even

Question

Select the graph of the function and determine whether it is even,odd,or neither. ​
F(x)= |x + 6|
​
A)​ Even 
B)​ Odd 
C)​ Neither 
D)​ Odd 
E)​ Even

Quizplus · Accepted Answer

The graph of f(x) = |x + 6| is a V-shaped graph with vertex (-6,0) and the arms opening upward and downward. Since the function is not symmetric about the y-axis (which would make it even) and the graph does not have rotational symmetry of 180 degrees about the origin (which would make it odd), it is neither even nor odd. Therefore, the correct choice is C.

Select the Graph of the Function and Determine Whether It