Fill in the blank.
The ____ is used to determine the left-hand and right-hand behavior of the graph of a polynomial function.

Choices:
Vertical line test (wrong btw)
Horizontal line test (wrong too)
Leading coefficient test
Distinct zero test
Even degree test
Polynomial test
Behavior test
Odd degree test

Respuesta :

The ____ is used to determine the left-hand and right-hand behavior of the graph of a polynomial function.

When largest exponent of the polynomial is even and leading coefficient is positive , then left hand and right hand ends of the graph goes up

When largest exponent of the polynomial is even and leading coefficient is negative , then left hand and right hand ends of the graph goes down

When largest exponent of the polynomial is odd and leading coefficient is positive , then left hand graph goes down and right hand ends of the graph goes up

When largest exponent of the polynomial is odd and leading coefficient is negative , then left hand graph goes up and right hand ends of the graph goes down

Hence, Leading coefficient test is used to determine the left-hand and right-hand behavior of the graph of a polynomial function.