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WorksheetsQ3.3 Continuity (11-H)
Total questions: 15
Worksheet time: 22mins
What type of discontinuity shows that the limit of the function exists as x approaches a certain value?
Removable/Hole Discontinuity
Infinite Discontinuity
Jump Discontinuity
Endpoint Discontinuity
Which of the following graphs presents a removable/hole discontinuity at x = 1?
Which of the following graphs presents a removable/hole discontinuity at x = -2?
Which of the following graphs presents an infinite discontinuity at x = 1?
Which of the following graphs presents a jump discontinuity at x = -2?
Which of the following graphs presents jump discontinuity at x = 1?
At what values of x can jump discontinuity be observed?
2 and 6
2 and 8
-2 and 5
8 and 10
At what values of x can removable/hole discontinuity be observed?
2 and 8
8 and 10
-2 and 6
0 and 4
At what values of x can infinite continuity be observed?
-2 and 5
2 and 6
4 and 8
8 and 10
What type of discontinuity can be observed on the function f(x)=−x2+4x2 ?
Removable/Hole
Infinite
Jump
Endpoint
What type of discontinuity is observable on the function above?
Removable/Hole
Infinite
Jump
Endpoint
What type of discontinuity is observable on the function above?
Removable/Hole
Infinite
Hole
Endpoint
At what value of x can the discontinuity be observed from the function above?
-4
-3
3
4
At what value of x can the discontinuity be observed from the function above?
0
3
-3
None
Which of the following observations of discontinuities is TRUE for the function above?
Removable/Hole at x = -1; Jump at x = 2
Removable/Hole at x = -1; Infinite at x = 2
Jump at x = -1; Removable/Hole at x = 2
Infinite at x = -1; Removable/Hole at x = 2
