# LEADING COEFFICIENT TEST WORKSHEET

Leading Coefficient Test Worksheet :

Worksheet given in this section will be much useful for the students who would like to practice problems on Leading Coefficient Test.

Before look at the worksheet, if you would like to learn Leading Coefficient Test,

## Leading Coefficient Test Worksheet - Problems

Problem 1 :

Find the right-hand and left-hand behaviors of the graph of

f(x)  =  x5 + 2x3 - 3x + 5

Problem 2 :

Determine the end behavior of the graph of the polynomial function below using Leading Coefficient Test.

P(x)  =  -x3 + 5x

Problem 3 :

Determine the end behavior of the graph of the polynomial function below using Leading Coefficient Test.

P(x)  =  2x2 - 2

Problem 4 :

Determine the end behavior of the graph of the polynomial function below using Leading Coefficient Test.

P(x)  =  -x2 + 1

## Leading Coefficient Test Worksheet - Solutions

Problem 1 :

Find the right-hand and left-hand behaviors of the graph of

f(x)  =  x5 + 2x3 - 3x + 5

Solution :

Because the degree is odd and the leading coefficient is positive, the graph falls to the left and rises to the right as shown in the figure.

Problem 2 :

Determine the end behavior of the graph of the polynomial function below using Leading Coefficient Test.

P(x)  =  -x3 + 5x

Solution :

Because the degree is odd and the leading coefficient is negative, the graph rises to the left and falls to the right as shown in the figure.

Problem 3 :

Determine the end behavior of the graph of the polynomial function below using Leading Coefficient Test.

P(x)  =  2x2 - 2

Solution :

Because the degree is even and the leading coefficient is positive, the graph rises to the left and right as shown in the figure.

Problem 4 :

Determine the end behavior of the graph of the polynomial function below using Leading Coefficient Test.

P(x)  =  -x2 + 1

Solution :

Because the degree is even and the leading coefficient is negative, the graph falls to the left and right as shown in the figure.

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