1. Section 3.1 Day 2 Extrema on an Interval Class Quiz
AP Calculus AB

2. Problem 1
Find the extreme values of 𝑓 𝑥 = 5−2 𝑥 2 , 𝑥≤1 𝑥+2, 𝑥>1 on the interval [−1, 2]

3. Problem 2
The velocity of a particle is moving on the x-axis is given by 𝑣 𝑡 = 𝑡 3 −6 𝑡 2 for the time 0≤𝑡≤10
A) When is the particle farthest to the left?
B) When is the velocity of the particle increasing the fastest?

4. Problem 3
Find the extreme values of 𝑓 𝑥 = 𝑥 on the interval [−2, 3]
Min (0, 0)
Max 3, 3 9

5. Problem 4
Find the extreme values for 𝑓 𝑥 =ln⁡(𝑥+1) on the interval [0, 3]
Min: (0, 0)
Max: (3, ln 4 )

6. Problem 5
Find the extreme values for 𝑓 𝑥 = 𝑒 −𝑥 on the interval [−1, 1]
Min: (1, −𝑒)
Max: −1, − 1 𝑒