Classifying Functions

[Math_Junkie]

How would you classify functions #1 and #2?

Here is the list to choose from:
- polynomial function
- root function
- power function
- algebraic function
- rational function
- exponential function
- trigonometric function
- logarithmic function

My guesses for #1 are algebraic and root functions.
My guesses for #2 are polynomial and algebraic functions.

But I'm not confident in my answers. Any help/explanations will be greatly appreciated!

 

[mmm4444bot]

How would you classify functions #1 and #2?

Here is the list to choose from:
- polynomial function
- root function
- power function
- algebraic function
- rational function
- exponential function
- trigonometric function
- logarithmic function

My guesses for #1 are algebraic and root functions.YES.

The nth root of a polynomial is an algebraic function.

My guesses for #2 are polynomial and algebraic functions.YES.

 

[Math_Junkie]

Turns out both of my answers are wrong.. :?

 

[mmm4444bot]

Well, this goes to show what I know.

(Hmmm. Maybe there's something more to the definition of an algebraic function than I know.)

I was thinking of a composition of functions, for (1). Perhaps, the answer "(1) is made up of both algebraic and root functions" is not allowed. In other words, (1) is strictly algebraic, and is not a root function overall.

Somebody will need to explain (2), to me.

 

[Math_Junkie]

On a similar question, how would u classify: y = x^8

Isn't it a power function and polynomial function?
I also tried power function, polynomial function and algebraic function and it was still wrong.

Any help for this? Thanks so much.

 

[mmm4444bot]

Have you tried entering just one classification?

Try polynomial. :idea:

 

[Math_Junkie]

You can enter more than one though, and y = x^8 is definately a power function.

:shock:

 

[mmm4444bot]

My point is that, perhaps, the machine wants any ONE correct response.

 

[Math_Junkie]

Re:

My point is that, perhaps, the machine wants any ONE correct response.

Well, I've submitted more than one correct response for similar questions and it seems to work. And I think this is designed so that you have to cover all the correct answers in order to get a point.

It turns out that the correct answer for #1 is only algebraic function. I've submitted a few more tries for the other two and still got the wrong answer. The story now:

y = 6t^6 + t^4 - pi
polynomial, alebraic X
polynomial, power, algebraic X
polynomial X
algebraic X

y = x^8
polynomial, power X
polynomial, power, algebraic X
power X
power, algebraic X

What on earth could the right combinations for these be? :lol: