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 𝑓(8) given the function 𝑓(𝑥)=37𝑥.

Q2:

Evaluate 𝑓57 given that 𝑓(𝑥)=3𝑥+34.

  • A217
  • B22528
  • C334
  • D11328
  • E11728

Q3:

Find the value of 𝑓(8) given the function 𝑓(𝑥)=𝑥14.

Q4:

Find the value of 𝑓(14) given the function 𝑓(𝑥)=𝑥28𝑥+7.

Q5:

Find the value of 𝑓2 given the function 𝑓(𝑥)=𝑥+2𝑥.

Q6:

If 𝑓(𝑥)=8𝑥3𝑥+4, find 𝑓(3).

Q7:

Complete the given table of values for the function 𝑦=5𝑥2.

𝑥21012
𝑦
  • A40,5,5,5,40
  • B10,3,2,3,38
  • C42,7,2,3,38
  • D8,1,2,1,10
  • E38,3,2,5,40

Q8:

Find 𝑓(3)+𝑓(5) given 𝑓(𝑥)=𝑥.

Q9:

Find the value of 𝑓(5) given the function 𝑓(𝑥)=𝑥23𝑥+31.

Q10:

If 𝑓(𝑥)=6𝑥+6𝑥+8, find 𝑓(2).

Q11:

Consider the polynomial function 𝑓(𝑥)=7𝑥+2𝑥+𝑥2𝑥+2.

Evaluate 𝑓(2).

Evaluate 𝑓(2).

Q12:

Consider the polynomial function 𝑓(𝑥)=2𝑥+5𝑥7𝑥+10. Evaluate 𝑓𝑥+1.

  • A2𝑥+9𝑥+2𝑥+10
  • B2𝑥+11𝑥+23𝑥+24
  • C2𝑥+5𝑥+7𝑥+24
  • D2𝑥+11𝑥+9𝑥+10
  • E2𝑥+5𝑥7𝑥+10

Q13:

The given graph is of a polynomial 𝑓.

What is the degree of 𝑓?

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.