Lesson Worksheet: Graphs of Polynomial Functions Mathematics • 10th Grade

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In this worksheet, we will practice graphing quartic functions written in factored form and identify where they cross the axes.

Q1:

Which of the following is the graph of 𝑓(𝑥)=(𝑥−2)?

  • A
  • B
  • C
  • D
  • E

Q2:

Which of the following is the graph of 𝑓(𝑥)=(𝑥−2)(𝑥+2)?

  • A
  • B
  • C
  • D
  • E

Q3:

Which of the following is the graph of 𝑓(𝑥)=−(𝑥+2)?

  • A
  • B
  • C
  • D
  • E

Q4:

Which of the following is the graph of 𝑓(𝑥)=(𝑥−3)(𝑥+1)(𝑥+4)?

  • A
  • B
  • C
  • D
  • E

Q5:

Which of the following is the graph of 𝑓(𝑥)=−(𝑥−1)(𝑥+1)?

  • A
  • B
  • C
  • D
  • E

Q6:

Which of the following is the graph of 𝑓(𝑥)=(𝑥+3)(𝑥−1)(𝑥+2)(𝑥−2)?

  • A
  • B
  • C
  • D
  • E

Q7:

Which of the following is the graph of 𝑓(𝑥)=(𝑥+1)(𝑥−2)(𝑥−1)?

  • A
  • B
  • C
  • D
  • E

Q8:

Which of the following is the graph of 𝑓(𝑥)=−(𝑥+3)(𝑥−1)(𝑥+2)(𝑥−2)?

  • A
  • B
  • C
  • D
  • E

Q9:

The given graph represents a polynomial function.

Which of the following could be the expression 𝑓(𝑥)?

  • A7(𝑥+1)(𝑥−5)(𝑥−7)(𝑥−9)
  • B−2(𝑥+1)(𝑥−5)(𝑥−7)(𝑥−9)
  • C−5(𝑥+3)(𝑥−1)(𝑥−2)(𝑥−7)
  • D−5(𝑥+3)(𝑥−1)(𝑥−2)(𝑥+7)
  • E(𝑥+3)(𝑥−1)(𝑥−2)(𝑥−7)

Q10:

Which of the following is the graph of 𝑓(𝑥)=(𝑥+3)(𝑥−1)(𝑥−4)?

  • A
  • B
  • C
  • D
  • E

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