Name __________________________________________
Pre-Calculus
Date________________ Grade ______________
Unit 4 Exponential and Logistic Functions
Lesson 1: Exponential and Logistic Functions
Boundedness:
Which of the following are exponential
functions? For those that are exponential
functions, state the initial value and the base.
For those that are not, explain why not.
1. 𝑦 = 3𝑥 2
Local extrema:
Asymptotes:
Horizontal asymptotes
vertical asymptotes
2. 𝑦 = 6𝑥 −4
End behavior:
3. 𝑦 = 4 ∙ 5𝜋
1 𝑥
𝑓(𝑥) = 8 ∙ ( )
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4. 𝑓(𝑥) = 𝑥 √𝑥
6.
5. 𝑓(𝑥) = 𝑥1.4
6. 𝑓(𝑥) = 9𝑥
Give a complete analysis of the given function
5.
𝑓(𝑥) = 4 ∙ 3𝑥
Domain:
Range:
Continuous/Discontinuous:
Decreasing; increasing:
Symmetric:
Boundedness:
Domain:
Local extrema:
Range:
Asymptotes
Continuous/Discontinuous:
Horizontal asymptotes
vertical asymptotes
Decreasing; increasing:
End behavior:
Symmetric:
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