Question

a function g is an odd function. if g(-3)=4, which of the points lie on the graph of g?

Answer 1

Are there some points somewhere?

Answer 2

a. (3,-4)
b. (-3,4)
c. (4,-3)
d. (-4,3)

Answer 3

If a function is odd, it means that the f(-x)=-f(x)
So, if g(-3)=4 then g(opposite of -3)=opposite g(-3)

Answer 4

Does that help?

Answer 5

i wish. its still super confusing.

Answer 6

how would i find the points
?

Answer 7

Let's break it down. What is the opposite of -3?

Answer 8

positive 3

Answer 9

So now we have that. What is the g(-3) as given in the problem?

Answer 10

positive 3?

Answer 11

Read the problem.

Answer 12

i have.

Answer 13

Read it again. You're trying to find out what g(-3) is

Answer 14

i understand that, but my question is how do i find it ?

Answer 15

g(-3)=4

Answer 16

Isn't that what the problem says?

Answer 17

yes thats what the problem says.

Answer 18

So what is the g(-3) according to the problem?

Answer 19

4

Answer 20

So now let us substitute:

Answer 21

What is the opposite of 4?

Answer 22

what do you mean by opposite?

Answer 23

The opposite of a number is the number you add to the number to get the additive identity which is 0.

Answer 24

-4?

Answer 25

You add the additive inverse of a number to the number in order to get 0.
The additive inverse is also known as the opposite.

Answer 26

So let us substitute that.

Answer 27

What ordered pair does that give us?

Answer 28

3,-4?

Answer 29

Do we need to recap or do you have it?

Answer 30

recap

Answer 31

if a function is odd: f(-x)=-f(x)
Given f(-3)=4
So x = -3 and f(x)=4
f(-x)=f(3) and - f(x)=-4
Substituting:
f(3)=-4
Resulting order pair is (3,-4)

Answer 32

Made a slight correction and addition.