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 ) = 4 x 5 − 3 x 2 + 5 x − 2
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 ) = 4 x 5 − 3 x 2 + 5 x − 2
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
)
=
4
x
5
−
3
x
2
+
5
x
−
2
Expert Solution & Answer
To determine
Whether the function f(x)=4x5−3x2+5x−2 is a polynomial function, a rational function, or neither. If polynomial, state degree, otherwise tell why not.
Answer to Problem 1RE
Solution:
Function f(x)=4x5−3x2+5x−2 is a polynomial function of degree 5
Explanation of Solution
Given Information:
The function, f(x)=4x5−3x2+5x−2
The polynomial function is in standard form of f(x)=anxn+an−1xn−1+....+a1x+a0.
Hence, f(x)=4x5−3x2+5x−2 is a polynomial function.
It has leading term 4x5.
Hence, function f(x)=4x5−3x2+5x−2 is a polynomial function of degree 5.
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I need detailed help solving this exercise from homework of Calculus I.I do not really understand how to do, please do it step by step, not that long but clear. Thank you!P.S.: Please do not use AI, thanks!---------------------------------------------------------------------------------Part 1: Multiple-Choice Questions, Each Problem with Single Correct Answer
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