Is the function #f(x) = 5 * x^-5# a monomial function?

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Answer 1 · 2018-06-07T19:56:08

No

#f(x)# isn't a monomial, because, despite having one term, the exponent is a negative value.

If the exponent was positive, we would be dealing with a monomial, but since we're not, this isn't a monomial.

Hope this helps!

Answer 2 · 2018-06-07T20:49:07

No. It's an algebrical fraction #f(x) = 5/x^5#

A polinomial is a sum of non negative exponents.

#p(x) = a + bx + cx^2#

#p(x,y) = a + bx + cy + cx^2 + dxy + ey^2#

One polinomial divided by another one is called an algebrical fraction.

#Phi(x,y) = frac{f + gx + hy}{a + bx + cy + cx^2 + dxy + ey^2}#