1. Unit 6 – Fundamentals of Calculus
Section 6.3 – Continuity
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2. A function f(x) is continuous at x = c if and only if all three of the
following tests hold:
f(x) is right continuous at x = -5
f(x) is continuous at x = -4
f(x) has infinite discontinuity at x = -3
f(x) has point discontinuity at x = -2
f(x) has infinite discontinuity at x = -1
f(x) is continuous at x = 0

3. Point Discontinuity Jump Discontinuity Continuous Continuous
At x = 1
At x = 2
At x = 3
At x = 4
At x = 5
Point Discontinuity
Jump Discontinuity
Continuous
Continuous
Point Discontinuity

4. continuous
continuous
pt. discontinuity at x = 0
inf. discontinuity at x = 1
pt. discontinuity at x = 3
continuous
inf. discontinuity at x = -3
jump discontinuity at x = 2

5. Find the value of a which makes the function below continuous

6. Find (a, b) which makes the function below continuous
As we approach x = = -a + b
As we approach x = = 3a + b