Question

Can someone help me with a quick question?

Answer 1

@Nnesha

Answer 2

@Michele_Laino

Answer 3

Hint:
I think that it is a function, nevertheless, such function has not symmetry axes

Answer 4

What does that mean? Hmm.

Answer 5

for example, such function is not symmetric with respect to the \(y-\) axis, so we can not write \(f(-x)=f(x)\), so it is not a even function

Answer 6

So, does that mean it's not a function?

Answer 7

no, no, please it is a function, nevertheless it is not an \(even\) function

Answer 8

So, we can say that option B is not the answer?

Answer 9

correct! Option B is a wrong option

Answer 10

How will we eliminate the other options?

Answer 11

since our function is not symmetric with respect to the origin of the caertesian system, then we can say that our function is not an \(odd\) function

Answer 12

Would it be option A? Because the function is neither B or C? And since it is a function, it must be A?

Answer 13

Can you help me with another question?

Answer 14

correct! it is option A

Answer 15

yes! I can help

Answer 16

Okay, that's my question

Answer 17

ok! I'm thinking, please wait...

Answer 18

Okay.

Answer 19

let's suppose to conside a value \(y_0\), namely we intersect both graphs of \(f(x)\) and \(g(x)\) with the horizontal line \(y=y_0\)

Answer 20

consider*

Answer 21

Would it be option C?

Answer 22

such intersection happen at different \(x\) values, one value for each graph, then we can write:
\[64x_2^3 = x_1^3\]
and after a simplification, we get:
\[4{x_2} = {x_1} \Rightarrow {x_2} = \frac{1}{4}{x_1}\]

Answer 23

so, what is the right option?

Answer 24

C?