# How do you determine whether the graph of #f(x)=1/(4x^7)# is symmetric with respect to the origin?

##### 1 Answer

Dec 31, 2016

#### Answer:

Find

#### Explanation:

We find:

#f(-x) = 1/(4(-x)^7) = (-1)^7*1/(4x^7) = -1/(4x^7) = -f(x)#

So

Its graph is rotationally symmetric about the origin, with order

graph{1/(4x^7) [-10, 10, -5, 5]}