Answer:
option B.
Step-by-step explanation:
we know that
1) The two diagonals of a rhombus are perpendicular
2) The sum of the interior angles in any triangle must be equal to 180 degrees
Let
O ----> the intersection point of the diagonals of the rhombus
In the right triangle OAD
solve for x
The function
f(x) is even
g(x) is neither even nor odd
h(x) is odd
Steps:
for an even function it holds that f(-x) = f(x):
f(-x) = (-1)^6 x^6 - (-1)^4 x^ 4 = x^6 - x^4 = f(x) => f is even
for an odd h(x) it holds that h(-x) = -h(x):
It is easy to show that g(x) does not match any of the two possibilities above.