Question

Four functions are given below. Either the function is defined explicitly, or the entire graph of the function is shown.

For each, decide whether it is an even function, an odd function, or neither.

see pic

Answer 1

Even function :
1) f(x) = f(-x)
2) the graph looks symmetrical about y-axis. In other words, if u fold ur graph along y-axis and the left and right curves overlap exactly.

Answer 2

Odd function :
1) f(x) = -f(x)
2) the graph looks symmetrical about the point (0, 0).

Answer 3

lets start wid ur second graph,
it falls into one of the above definitions. which one do u think it fits more ? :)

Answer 4

odd

Answer 5

Yup!

wat about third ?

Answer 6

below function :
\(g(x) = 6x^3\)

Answer 7

even/odd/neither ?

Answer 8

odd

Answer 9

Correct !

Answer 10

wat about "first graph" and "last equation" ?

Answer 11

il give a hint : they both fall into same category

Answer 12

neither

Answer 13

\(\large \color{red}{\checkmark}\)

Answer 14

good job !!