is the function k(x) even, odd, or neither?
is the function k(x) even, odd, or neither?
Answer
Explanation:
Step1: Recall symmetry rules
A function is even if its graph is symmetric about the ( y )-axis (( k(-x)=k(x) )), odd if symmetric about the origin (( k(-x)= -k(x) )).
Step2: Analyze the graph
Check the graph of ( k(x) ). The left and right sides (relative to ( y )-axis) do not mirror each other (e.g., the shape on ( x>0 ) and ( x<0 ) differ). Also, it's not symmetric about the origin (rotating 180° around origin doesn't match). So it's neither.
Answer:
Neither