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Lesson: Finding Limits Graphically

Sample Question Videos

Worksheet • 25 Questions • 2 Videos

Q1:

Given that the following graph represents the function 𝑓 ( 𝑥 ) = 𝑥 4 𝑥 + 2 2 , determine l i m 𝑥 2 𝑓 ( 𝑥 ) .

Q2:

If graph shown represents the function 𝑓 ( 𝑥 ) = 𝑥 3 , determine l i m 𝑥 1 𝑓 ( 𝑥 ) .

Q3:

Determine l i m 𝑥 8 𝑓 ( 𝑥 ) .

  • AThe limit does not exist.
  • B8
  • C3
  • D0

Q4:

Determine the limit as 𝑥 1 of the function represented by the graph.

Q5:

Determine the limit as 𝑥 3 of the function represented by the graph.

Q6:

Determine the limit of the function as 𝑥 3 .

Q7:

Determine the limit of the function as 𝑥 2 .

Q8:

Using the graph representing the function 𝑓 ( 𝑥 ) = ( 𝑥 + 3 ) + 2 2 , determine l i m 𝑥 3 𝑓 ( 𝑥 ) .

Q9:

Determine the limit as 𝑥 3 of the function represented by the graph.

Q10:

Determine the limit of the function as 𝑥 3 .

Q11:

If the following graph represents the function 𝑓 ( 𝑥 ) = ( 𝑥 1 ) 3 3 , determine l i m 𝑥 1 𝑓 ( 𝑥 ) .

Q12:

Determine the limit of the function as 𝑥 1 .

Q13:

Determine the limit of the function as 𝑥 1 .

Q14:

Determine the limit of the function as 𝑥 1 , if it exists.

Q15:

Determine l i m 𝑥 0 𝑓 ( 𝑥 ) using the graph below.

Q16:

Find l i m 𝑥 9 𝑓 ( 𝑥 ) if it exists.

  • AThe limit does not exist.
  • B 9
  • C1
  • D5

Q17:

Determine the limit as 𝑥 2 of the function represented by the graph.

Q18:

Find l i m 𝑥 0 𝑓 ( 𝑥 ) .

Q19:

Determine l i m 𝑥 0 𝑓 ( 𝑥 ) , if it exists.

  • AThe limit does not exist.
  • B 1
  • C 2
  • D1

Q20:

Determine l i m 𝑥 2 𝑓 ( 𝑥 ) if it exists.