In Problems 1 − 4 , determine whether the function is a polynomial function, a rational function, or neither. For those that are polynomial functions, state the degree. For those that are not polynomial functions, tell why not. f ( x ) = 3
In Problems 1 − 4 , determine whether the function is a polynomial function, a rational function, or neither. For those that are polynomial functions, state the degree. For those that are not polynomial functions, tell why not. f ( x ) = 3
Solution Summary: The author explains that the function f(x)=3 is a nonzero constant polynomial function of degree 0.
In Problems
1
−
4
, determine whether the function is a polynomial function, a rational function, or neither. For those that are polynomial functions, state the degree. For those that are not polynomial functions, tell why not.
f
(
x
)
=
3
Expert Solution & Answer
To determine
Whether the function f(x)=3 is a polynomial function, a rational function, or neither. If polynomial state degree otherwise tell why not.
Answer to Problem 4RE
Solution:
Function f(x)=3 is a polynomial function of degree 0.
Explanation of Solution
Given Information:
The function, f(x)=3
The function f(x) is a nonzero constant polynomial function.
It is in standard form f(x)=anxn+an−1xn−1+....+a1x+a0
The leading term is 3 with no variable.
Hence, function f(x)=3 is a polynomial function of degree 0.
University Calculus: Early Transcendentals (3rd Edition)
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