Answer
$O(x^4)$
Work Step by Step
We know that:
$|f(x)| = |x^4 + 9x^3 + 4x + 7| \leq |x^4| + |9x^3| + |4x| + |7| = x^4 + 9x^3 + 4x + 7$
$|f(x)| < 4x^4 = 4(x^4)$
Hence, the big O notation is $O(x^4)$.
Discrete Mathematics and Its Applications, Seventh Edition
by Rosen, Kenneth
Published by
McGraw-Hill Education
ISBN 10:
0073383090
ISBN 13:
978-0-07338-309-5
Chapter 3 - Section 3.2 - The Growth of Functions - Exercises - Page 216: 3
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