20
QuizMultiple Choice

Unit Test — Unit test

Question 20 • TX-Pre-Calculus

Which statement describes how the graph of the given polynomial would change if the term –3x6 is added?y = 2x6 + 9x5 – 7x3 – 1

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 −3x⁶ changes the leading term from 2x⁶ to −x⁶. The polynomial still has even degree, and its leading coefficient is now negative, so both ends of its graph approach negative infinity. This matches “Both ends of the graph will approach negative infinity.”

AI-written and checked against the verified answer.

Previous
Next