13
QuizMultiple Choice

Graphs of Polynomial Functions

Question 13 • [INMT3] Integrated Math 3 Sem 1 (26-27)

Which statement describes how the graph of the given polynomial would change if the term 2x5 is added?y = 8x4 – 2x3 + 5

Answer
A
Both ends of the graph will approach negative infinity.
B
The ends of the graph will extend in opposite directions.
C
Both ends of the graph will approach positive infinity.
D
The ends of the graph will approach zero.

Explanation

Adding 2x⁵ gives the polynomial a leading term of 2x⁵. For large positive x, this term makes the graph rise toward positive infinity; for large negative x, it makes the graph fall toward negative infinity. Therefore, the ends extend in opposite directions, as choice B states.

AI-written and checked against the verified answer.