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:

C

Step-by-step explanation:

Googling this, we find that when -f(x) = f(-x), our function is odd. This means that when we multiply our input by -1, our output will multiply by -1 as well.

A is incorrect because when we multiply our input (-1) by -1, our output does not change

B is incorrect because it isn't even a function -- there are multiple outputs for the input

C is correct because when we multiply the input by -1 (as -2 goes to 2), the output multiplies by -1 (32 goes to -32)

D is incorrect because when we multiply the input by -1, the output stays the same. This is an example of an even function.

Answer 2

Answer:

C. $\displaystyle (-2, 32)\:and\:(2, -32)$

Step-by-step explanation:

The best way to put this is that the integer signs MUST be interchanged.

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