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Worksheet: Evaluating a Polynomial Function for Variables and Algebraic Expressions

Q1:

Consider the polynomial function 𝑓 ( π‘₯ ) = βˆ’ 7 π‘₯ + 2 π‘₯ + π‘₯ βˆ’ 2 π‘₯ + 2 5 4 3 2 .

Evaluate 𝑓 ( 2 ) .

Evaluate 𝑓 ( βˆ’ 2 ) .

Q2:

Consider the polynomial function 𝑓 ( π‘₯ ) = 2 π‘₯ + 5 π‘₯ βˆ’ 7 π‘₯ + 1 0 3 2 . Evaluate 𝑓 ο€Ή π‘₯ + 1  2 .

  • A 2 π‘₯ + 9 π‘₯ + 2 π‘₯ + 1 0 6 4 2
  • B 2 π‘₯ + 5 π‘₯ βˆ’ 7 π‘₯ + 1 0 6 4 2
  • C 2 π‘₯ + 1 1 π‘₯ + 2 3 π‘₯ + 2 4 6 4 2
  • D 2 π‘₯ + 1 1 π‘₯ + 9 π‘₯ + 1 0 6 4 2
  • E 2 π‘₯ + 5 π‘₯ + 7 π‘₯ + 2 4 6 4 2

Q3:

Consider the function 𝑓 ( π‘₯ ) = π‘₯ βˆ’ 3 π‘₯ βˆ’ 4 2 . Find 𝑓 ( π‘₯ + 3 ) .

  • A 𝑓 ( π‘₯ + 3 ) = π‘₯ βˆ’ 3 π‘₯ 2
  • B 𝑓 ( π‘₯ + 3 ) = π‘₯ + 3 π‘₯ + 1 2
  • C 𝑓 ( π‘₯ + 3 ) = π‘₯ βˆ’ 3 π‘₯ βˆ’ 1 2
  • D 𝑓 ( π‘₯ + 3 ) = π‘₯ + 3 π‘₯ βˆ’ 4 2