Question

determine if the following function is even p(x)=2x^4-6x+1

Answer 1

hint, one of the exponents is NOT even

Answer 2

your teacher wants you to write
\[p(-x)=(-x)^2-6\times (-x)+1=x^2+6x+1\] and since this is NOT
\[-p(x)\] the answer is no

Answer 3

for a function to be even the condition is f(-x) = f(x).

for a function to be odd the condition is f(-x) = -f(x)

if neither condition is satisfied, the function is neither odd nor even