Can I get help with 11, 13, 14 and 15?
Thank you for the opportunity to help you with your question!
11) if h(x) is even then h(-x) = h(x)
if g(x) is odd, then g(-x) = -g(x)
f(x) = g(x)*h(x)
f(-x) = g(-x) * h(-x)
f(-x) = -g(x) * h(x) (based on above)
f(-x) = -f(x). Thus, odd
13) Let g(x) and h(x) be arbitrary odd functions
this means that g(-x) = -g(x) and h(-x) = -h(x)
Let f(x) = g(x) + h(x)
f(-x) = g(-x) + h(-x)
f(-x) = -g(x) - h(x)
f(-x) = -(g(x) + h(x))
f(-x) = -f(x)
14)There are plenty of functions that are not even or odd. For example, consider a function that is the sum of an even and odd function. It is neither odd nor even.
15) Even means that it is reflective over y-axis. Odd means it is reflective over origin.
Content will be erased after question is completed.
Enter the email address associated with your account, and we will email you a link to reset your password.
Forgot your password?