Carnegie Learning. Inc.
3 Sam and Otis disagree when they compare the two functions shown to determine which one
has an odd degree. Who is correct? Justify your reasoning.
The function f(x) has an absolute
maximum value.
Sam
The function f(x) has an odd
degree because odd functions
approach positive infinity as x
either increases or decreases.
This means f(x) has a
maximum
value.
g(x) = x¹(3-x)(2x² + 3)(x² + 4)
Otis
The function g(x) has an odd
degree. When I multiplied the
factors, I got a term with a
highest exponent of 11:
x*(-x) (2x³)(x) = -2x"
Therefore, g(x) is odd.
TOPIC 3