Which statement describes the function y = axn when a = 1 and n is even?

The graph opens down. The graph is symmetric about the x axis. The graph passes through (-1, 1), (0, 0), and (1, 1). The graph has more than one x intercept.

Hello,

y=ax^n

a=1

n=2k

f (x) = y=x^ (2k)

A:

y'=2k*x^ (2k-1)

if x<0 y'<0

if x>0 y'>0 = = >opens upwise

f (-1) = (-1) ^ (2k) = 1

f (0) = 0^ (2k) = 0

f (1) = 1^ (2k) = 1 C is exact

y=x² has one intercept with x axis.

Answer C

f (-x) = (-x) ^ (2k) = ((-x) ^2) k = (x²) ^k=x^ (2k)

The graph is symmetric about y axis