CONTINUITY OF A FUNCTION
Directions: Identify whether the following functions are continuous or not a
certain point or interval. Show your complete solution.
1. 𝑓(𝑥) =
𝑥 2 +𝑥−2
𝑥+2
𝑥
2. 𝑓(𝑥) = 𝑥−1
at x = -2
at x = 1
3. 𝑓(𝑥) = 𝑥 2 + 7𝑥 + 6 on [-2, 3]
4. 𝑓(𝑥) =
𝑥 2 −2𝑥−8
𝑥−4
5. 𝑓(𝑥) = √1 − 𝑥 2
on [0, 5]
on [-1, 1]
Directions: Determine the domain and range of the given graph. Write your
answer in interval and set notation.
6.
7.
8.