Question

Select the correct answer.

If g is an odd function, which pair of points could be found on the graph of g?
A.
(-1,16) and (1,16)
B.
(4,28) and (4,-28)
C.
(-2,32) and (2,-32)
D.
(3,-5) and (-3,-5)

Answer 1

Answer:

the answer is It’s (-2,32) and (2,-32)

Step-by-step explanation:

Answer 2

Answer:

(-2,32) and (2,-32) can be found on the graph of g.

Step-by-step explanation:

Given that g is an odd function.Hence:

g(-x) = -g(x)

The graph of g(x) will be symmetric about the origin.

Let us check the options:

• Option A is wrong as both g(1) and g(-1) is 16

• B is not even a function as x=4 has two mappings.

        In a function each element in the domain should have a unique image.

        Hence Option B is wrong.

• Option C is correct as g(-2) = -g(2) (Here x=2)

• Option D is wrong since g(3) = g(-3)

(-2,32) and (2,-32) can be found on the graph of g.