Lesson Worksheet: Graphs of Simple Cubic Functions Mathematics

In this worksheet, we will practice graphing and interpreting cubic functions of the form y=kx^3+c.


Select the equation of this curve.

  • A𝑦=2𝑥3
  • B𝑦=2𝑥+3
  • C𝑦=𝑥3
  • D𝑦=𝑥+3
  • E𝑦=𝑥3


Which graph represents the function 𝑦=2.5𝑥+3?

  • A(d)
  • B(b)
  • C(a)
  • D(c)


At how many points does the curve of 𝑓(𝑥)=𝑘𝑥+𝑐, where 𝑘0, cross the 𝑥-axis?


The given figure represents the curves of the two functions 𝑓(𝑥)=𝑘𝑥 and 𝑓(𝑥)=𝑘𝑥. Which is greater, 𝑘 or 𝑘?

  • A𝑘
  • B𝑘


The given table represents points that lie on a cubic graph. Which of the following curves is that graph?

  • A𝑓(𝑥)
  • B𝑓(𝑥)
  • C𝑓(𝑥)
  • D𝑓(𝑥)
  • E𝑓(𝑥)


True or False: The following figure shows the curves of two cubic functions 𝑓(𝑥) and 𝑓(𝑥). If 𝑐 and 𝑐 are the constant terms of the two functions, respectively, then the figure implies that |𝑐|>|𝑐|.

  • ATrue
  • BFalse


True or False: The following graph represents the function 𝑦=2𝑥1.

  • ATrue
  • BFalse

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