Worksheet: Graphing Factorized Cubic Functions

In this worksheet, we will practice graphing cubic functions written in factorized form.

Q1:

Which equation matches the graph?

  • A𝑓(𝑥)=(𝑥1)(𝑥+2)(𝑥+3)
  • B𝑓(𝑥)=0.25(𝑥1)(𝑥+2)(𝑥+3)
  • C𝑓(𝑥)=0.25(𝑥1)(𝑥+2)(𝑥+3)
  • D𝑓(𝑥)=(𝑥1)(𝑥+2)(𝑥+3)
  • E𝑓(𝑥)=0.25(𝑥+1)(𝑥2)(𝑥3)

Q2:

The following graph represents the function 𝑓(𝑥)=𝑘(𝑥𝑎)(𝑥𝑏). Find the values of 𝑘, 𝑎, and 𝑏.

  • A𝑘=2, 𝑎=2, 𝑏=1
  • B𝑘=2, 𝑎=1, 𝑏=2
  • C𝑘=2, 𝑎=2, 𝑏=1
  • D𝑘=2, 𝑎=1, 𝑏=2
  • E𝑘=2, 𝑎=2, 𝑏=1

Q3:

Which of the following graphs represents 𝑓(𝑥)=0.5(𝑥1)(𝑥2)(𝑥3)?

  • A
  • B
  • C
  • D
  • E

Q4:

Which of the following graphs represents 𝑓(𝑥)=(𝑥+1)(𝑥2)?

  • A
  • B
  • C
  • D
  • E

Q5:

Which equation matches the graph?

  • A𝑓(𝑥)=(𝑥1)(𝑥+3)
  • B𝑓(𝑥)=0.5(𝑥1)(𝑥+3)
  • C𝑓(𝑥)=0.5(𝑥1)(𝑥+3)
  • D𝑓(𝑥)=(𝑥1)(𝑥+3)
  • E𝑓(𝑥)=0.5(𝑥1)(𝑥+3)

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