Question

Tell whether f(x) = - x2 - 5 is an even or odd function, and describe its symmetry.

even: symmetric with respect to the origin
even: symmetric with respect to the y-axis.
odd: symmetric with respect to the origin
odd: symmetric with respect to the y_axis

Answer 1

even function:
f(x) = f(-x)

odd function:
f(-x) = -f(x)

Answer 2

also even function is symmetrical about y axis

Answer 3

try plugging in x = 1 and x = -1 into f(x).