Question

Which of the following notations correctly describe the end behavior of the polynomial graph below?

Answer 1

The end behaviour of the polynomial graph is (b) x ⇒ +∝, f(x) ⇒ -∝ and x ⇒ -∝, f(x) ⇒ -∝

How to determine the end behaviour of the polynomial graph?

The polynomial graph represents the given parameter

This polynomial graph is a quadratic function opened downwards

Polynomial function of this form have the following end behaviour:

• As x increases, f(x) decreases
• As x decreases, f(x) decreases

This is represented as

x ⇒ +∝, f(x) ⇒ -∝ and x ⇒ -∝, f(x) ⇒ -∝

Hence, the end behaviour is (b)

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