16
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Monomial Functions

Question 16 • Sem 2 - Algebra 2 with Probability - Nkwati - Content

Identify the monomial function(s) that have a maximum.

Answer
A
y = x3
B
y = –4x
C
y = –3x4
D
y = –2x12
E
y = 3x3
F
y = 6x8

Explanation

A monomial with a negative coefficient and an even exponent is at most 0 for every real x, and it equals 0 when x = 0. Thus y = –3x⁴ and y = –2x¹² each have a maximum of 0. The other choices are either unbounded above or, for y = 6x⁸, grow without bound as |x| increases.

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