Question

f(x)=3x^4-5x^2 this function is because

Answer 1

This is a polynomial of degree 4, for each value of x, we get only one value of y, so we conclude that this is a function.

Is this a function?

A function is a relation that maps inputs (usually written as x) into outputs (usually written as y). Such that each input is mapped into only one output.

For example, if we had:

y = ±√x

Notice that for the same input x = 1, we would have two outputs:

y = 1 and y = -1.

So that is not a function.

Now, for the given one:

$y = f(x) = 3x^4 - 5x^2$

This is a polynomial of degree 4, for each value of x, we get only one value of y, so we conclude that this is a function.

If you want to learn more about functions:

https://brainly.com/question/4025726

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