find the graph of an even function.
find the graph of an even function.
Answer
Explanation:
Step1: Recall even function property
An even function satisfies ( f(-x) = f(x) ) for all ( x ) in its domain, meaning its graph is symmetric about the ( y )-axis.
Step2: Analyze each graph
- Top - Left Graph: Not symmetric about ( y )-axis (left and right parts don't mirror).
- Top - Right Graph: Not symmetric about ( y )-axis (left and right curves don't mirror).
- Bottom - Left Graph: Not symmetric about ( y )-axis (left and right parts don't mirror).
- Bottom - Right Graph: The graph is symmetric about the ( y )-axis (left - hand side (for ( x<0 )) and right - hand side (for ( x > 0 )) are mirror images across the ( y )-axis).
Answer:
The graph at the Bottom - Right (the fourth graph)