Use the graph to answer the question.
a line with a slope of negative 5 passing through the origin.
see attached graph
is the function even, odd, or neither? why? select one below
the function is even because it is symmetric about the y-axis.
the function is odd because it is symmetric about the y-axis.
the function is even because it is symmetric about the origin.
the function is neither even nor odd because it is not symmetric about the y-axis or the origin.
the function is odd because it is symmetric about the origin.

The function is odd because it is symmetric about the origin.

Step-by-step explanation:

we know that

A function f(x) is even when

f(x)=f(-x) > the function is symmetry about the y-axis

A function is odd when

-f(x)=f(-x) ---> the function is symmetry about the origin

In this problem we have

f(x)=-5x

Verify if the function is even

For x=1 > f(1)=-5(1)=-5

For x=-1 ---> f(-1)=-5(-1)=5

so

f(x) is not equal to f(-x)

therefore The function is not even

Verify if the function is odd

we have

f(1)=-5

f(-1)=5

so

-f(1) is equal to f(-1)

-f(x)=f(-x)

therefore

The function is odd because it is symmetric about the origin.

1/3 + 1/5 = 8/15.

step-by-step explanation:

hope it