Question

Determine whether the function shown in the graph is even or odd.

the graph will be down in the reply

Answers:
The function is even because it is symmetric with respect to the y-axis
The function is odd because it is symmetric with respect to the y-axis.
The function is even because it is symmetric with respect to the origin.
The function is odd because it is symmetric with respect to the origin.

Answer 1

If a function only cares about the quantity of the input, not if it's positive or negative then that function is an even function.

Answer 2

The main thing to remember when looking at a graph and figuring whether it is odd or even, is that even functions are symmetrical with the y-axis, while for odd functions, if you spin the graph 180 degrees, looking at it upside-down, if it is still the same, it is an odd function

Answer 3

if f(-x)=f(x),then it is even.
if f(-x)=-f(x) then it is even.

Answer 4

\(\color{#0cbb34}{\text{Originally Posted by}}\) @surjithayer
if f(-x)=f(x),then it is even.
if f(-x)=-f(x) then it is even.
\(\color{#0cbb34}{\text{End of Quote}}\)
I think what you meat to say in the the second line is odd.

Answer 5

YES it is odd,typing mistake.