Determine whether the given function is a polynomial function. If it's a polynomial function, state the degree. If not, state th

Question

2 years ago

9

Determine whether the given function is a polynomial function. If it's a polynomial function, state the degree. If not, state th

e reason why.
k(x) = –3x6 – 0.7x + x3

A. Yes; degree 10
B. No, because some range elements correspond to more than one domain element
C. No, because 0.7 isn't an integer
D. Yes; degree 6

Mathematics

1 answer:

Rudik [331] · Answer 1 · 2022-08-18T15:33:45+03:00

ANSWER

The correct answer is option D.

EXPLANATION

The given function is

$k(x)=-3x^6-0.7x+x^3$

This a polynomial function. All degrees are greater than or equal to zero.

The coefficient being decimals does not disqualify it from being a polynomial.

The highest degree of this polynomial is 6.

Therefore the correct answer is D