Precalculus · F-IF
Continuity — Definition and Types of Discontinuity
f is continuous at c if lim_{x→c} f(x) = f(c). Types of discontinuity — removable (hole), jump, and infinite (vertical asymptote).
PrecalculusCommon Core HSF-IF.C.7F-IFVerified correct ✓
Worked examples
Let f(x) = { 1x + -1 if x < 2
{ 1x + -1 if x ≥ 2.
Is f continuous at x = 2? Enter 1 for yes, 0 for no.
Answer: 1
Let f(x) = { 2x + -2 if x < 3
{ 2x + -2 if x ≥ 3.
Is f continuous at x = 3? Enter 1 for yes, 0 for no.
Answer: 1
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