The correct answer is B. The function is even because when you substitute -x into the function, you get the same result as when you substitute x into the function.
An even function is symmetric with respect to the y-axis, meaning that if you reflect the graph across the y-axis, it remains unchanged. This symmetry is defined mathematically as f(-x) = f(x). In this case, the function satisfies this condition, making it an even function.
1. Determine whether the function shown is even, odd, or neither. Provide an argument to explain your answer.
A. The function is odd because f(−x)=−f(x) .
B. The function is even because f(−x)=f(x) .
C. The function is both even and odd because f(−x)=−f(x) and f(−x)=f(x) .
D. The function is neither even nor odd because f(−x)≠−f(x) and f(−x)≠f(x) .
1 answer
1 answer