Worksheet: Graphing Monomials

In this worksheet, we will practice graphing monomial functions then we will analyze the function's domain, range, y-intercept, end behavior, continuity, and finally its decreasing and increasing intervals.

Q1:

Consider the function 𝑓 ( 𝑥 ) = 1 1 0 𝑥 4 .

Which of the following shows the graph of 𝑓 ?

  • A
  • B
  • C
  • D

What is the 𝑦 -intercept of the function?

What is the domain of 𝑓 ?

  • A [ 0 , )
  • B ( , 0 ]
  • C

What is the range of 𝑓 ?

  • A [ 0 , )
  • B
  • C ( , 0 ]

On what interval is the function increasing?

  • A ( 0 , )
  • B ( , 0 )
  • C

On what interval is the function decreasing?

  • A ( 0 , )
  • B
  • C ( , 0 )

What happens to the value of 𝑓 ( 𝑥 ) as 𝑥 ?

  • A 𝑓 ( 𝑥 )
  • B 𝑓 ( 𝑥 )

What happens to the value of 𝑓 ( 𝑥 ) as 𝑥 ?

  • A 𝑓 ( 𝑥 )
  • B 𝑓 ( 𝑥 )

Q2:

Consider the function 𝑓 ( 𝑥 ) = 1 1 0 0 𝑥 7 .

Which of the following shows the graph of 𝑓 ?

  • A
  • B
  • C
  • D

What is the 𝑦 -intercept of the function?

What is the domain of 𝑓 ?

  • A [ 0 , )
  • B ( , 0 ]
  • C

What is the range of 𝑓 ?

  • A
  • B [ 0 , )
  • C ( , 0 ]

On what interval is the function increasing?

  • AThere are no intervals on which the function is increasing.
  • B ( 0 , )
  • C

On what interval is the function decreasing?

  • AThere are no intervals on which the function is decreasing.
  • B ( , 0 )
  • C

What happens to the value of 𝑓 ( 𝑥 ) as 𝑥 ?

  • A 𝑓 ( 𝑥 )
  • B 𝑓 ( 𝑥 )

What happens to the value of 𝑓 ( 𝑥 ) as 𝑥 ?

  • A 𝑓 ( 𝑥 )
  • B 𝑓 ( 𝑥 )

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