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

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(π‘₯)=(π‘₯βˆ’2)?

  • A
  • B
  • C
  • D
  • E

Q2:

Which of the following is the graph of 𝑓(π‘₯)=(π‘₯βˆ’2)(π‘₯+2)?

  • A
  • B
  • C
  • D
  • E

Q3:

Which of the following is the graph of 𝑓(π‘₯)=βˆ’(π‘₯+2)?

  • A
  • B
  • C
  • D
  • E

Q4:

Which of the following is the graph of 𝑓(π‘₯)=(π‘₯βˆ’3)(π‘₯+1)(π‘₯+4)?

  • A
  • B
  • C
  • D
  • E

Q5:

Which of the following is the graph of 𝑓(π‘₯)=βˆ’(π‘₯βˆ’1)(π‘₯+1)?

  • A
  • B
  • C
  • D
  • E

Q6:

Which of the following is the graph of 𝑓(π‘₯)=(π‘₯+3)(π‘₯βˆ’1)(π‘₯+2)(π‘₯βˆ’2)?

  • A
  • B
  • C
  • D
  • E

Q7:

Which of the following is the graph of 𝑓(π‘₯)=(π‘₯+1)(π‘₯βˆ’2)(π‘₯βˆ’1)?

  • A
  • B
  • C
  • D
  • E

Q8:

Which of the following is the graph of 𝑓(π‘₯)=βˆ’(π‘₯+3)(π‘₯βˆ’1)(π‘₯+2)(π‘₯βˆ’2)?

  • A
  • B
  • C
  • D
  • E

Q9:

The given graph represents a polynomial function.

Which of the following could be the expression 𝑓(π‘₯)?

  • A7(π‘₯+1)(π‘₯βˆ’5)(π‘₯βˆ’7)(π‘₯βˆ’9)
  • Bβˆ’2(π‘₯+1)(π‘₯βˆ’5)(π‘₯βˆ’7)(π‘₯βˆ’9)
  • Cβˆ’5(π‘₯+3)(π‘₯βˆ’1)(π‘₯βˆ’2)(π‘₯βˆ’7)
  • Dβˆ’5(π‘₯+3)(π‘₯βˆ’1)(π‘₯βˆ’2)(π‘₯+7)
  • E(π‘₯+3)(π‘₯βˆ’1)(π‘₯βˆ’2)(π‘₯βˆ’7)

Q10:

Which of the following is the graph of 𝑓(π‘₯)=(π‘₯+3)(π‘₯βˆ’1)(π‘₯βˆ’4)?

  • A
  • B
  • C
  • D
  • E

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