Which of the following functions represents an even function, satisfying for all in its domain?
Answer and explanation
Correct answer: A.
- Step 1: Recall the definition of an even function: , which exhibits reflective symmetry across the -axis.
- Step 2: For the cosine function, , confirming it is an even function.
Answer
.
Why not the others: '' is an odd function since ; '' is an odd function since ; '' is neither even nor odd.
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