Question

Select the true statement.

A.
Only function g is even.
B.
Only function f is even.
C.
Neither function is even.
D.
Both functions are even.

Answer 1

A.

Only function g is even

Answer 2

Option: A is the correct answer.

A. Only function g is even.

Explanation:

• We know that the graph of a even function is such that both the ends of a graph points in the same direction and the graph of a odd function is such that both the ends of the graph points in the opposite direction.

• Also, the graph of the even function is symmetric about the y-axis .

• whereas the graph of the odd function is symmetric about the origin i.e. it has rotational symmetry about the origin.

Here by looking at the graph we observe that the graph of function g satisfies the condition of even function.

( whereas the graph of function f is not symmetric about the y-axis and hence function f is not even )

Hence, the function g is an even function.