# Worksheet: Polynomial Functions

In this worksheet, we will practice identifying, writing, and evaluating a one-variable polynomial function and stating its degree and leading coefficient.

Q1:

Find the value of given the function .

Q2:

Evaluate given that .

• A
• B
• C
• D
• E

Q3:

Find the value of given the function .

Q4:

Find the value of given the function .

Q5:

Find the value of given the function .

Q6:

If , find .

Q7:

Complete the given table of values for the function .

 𝑥 − 2 − 1 0 1 2 𝑦
• A
• B
• C
• D
• E

Q8:

Find given .

Q9:

Given the function , evaluate .

Q10:

Find the value of given the function .

Q11:

If , find .

Q12:

Consider the polynomial function .

Evaluate .

Evaluate .

Q13:

Consider the polynomial function . Evaluate .

• A
• B
• C
• D
• E

Q14:

Consider the function . Find .

• A
• B
• C
• D

Q15:

A polynomial function that has three different roots .

• Apasses both the vertical and the horizontal line tests
• Bwill have no more than two relative maximums
• Cwill have no more than two relative minimums
• Dcan be inverted only if the domain is restricted

Q16:

The given graph is of a polynomial .

What is the degree of ?