Worksheet: Evaluating a Polynomial Function for a Given Value

In this worksheet, we will practice evaluating a polynomial function for different values in its domain.

Q1:

Find the value of 𝑓 ( 8 ) given the function 𝑓 ( 𝑥 ) = 3 7 𝑥 .

Q2:

Evaluate 𝑓 5 7 given that 𝑓 ( 𝑥 ) = 3 𝑥 + 3 4 .

  • A 1 1 3 2 8
  • B 2 1 7
  • C 3 3 4
  • D 2 2 5 2 8
  • E 1 1 7 2 8

Q3:

Find the value of 𝑓 ( 8 ) given the function 𝑓 ( 𝑥 ) = 𝑥 1 4 .

Q4:

Find the value of 𝑓 ( 1 4 ) given the function 𝑓 ( 𝑥 ) = 𝑥 2 8 𝑥 + 7 .

Q5:

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

Q6:

If 𝑓 ( 𝑥 ) = 8 𝑥 3 𝑥 + 4 , find 𝑓 ( 3 ) .

Q7:

Complete the given table of values for the function 𝑦 = 5 𝑥 2 .

𝑥 2 1 0 1 2
𝑦
  • A 4 0 , 5 , 5 , 5 , 4 0
  • B 1 0 , 3 , 2 , 3 , 3 8
  • C 3 8 , 3 , 2 , 5 , 4 0
  • D 4 2 , 7 , 2 , 3 , 3 8
  • E 8 , 1 , 2 , 1 , 1 0

Q8:

Find 𝑓 ( 3 ) + 𝑓 ( 5 ) given 𝑓 ( 𝑥 ) = 𝑥 .

Q9:

Given the function 𝑡 ( 𝑠 ) = 𝑠 4 𝑠 3 , evaluate 𝑡 ( 4 ) .

Q10:

Find the value of 𝑓 ( 5 ) given the function 𝑓 ( 𝑥 ) = 𝑥 2 3 𝑥 + 3 1 .

Q11:

If 𝑓 ( 𝑥 ) = 6 𝑥 + 6 𝑥 + 8 , find 𝑓 ( 2 ) .

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