Functions
Exponential functions describe processes that grow or shrink by the same factor in each step: populations, interest, radioactive decay. M-Kurs and W-Kurs students meet them often during the course.
Generated by the same engine as the Kollego course and solvable without a calculator. Pick an answer in your head, then open the solution.
1. f(x) = 2·5ˣ. What is f(3)?
Answer: 250
Exponential growth: raise the base to the power, then multiply by the front coefficient.
2·5³ = 2·125 = 250.
2. f(x) = 3·3ˣ. What is f(4)?
Answer: 243
Exponential growth: raise the base to the power, then multiply by the front coefficient.
3·3⁴ = 3·81 = 243.
3. f(x) = 2ˣ. What is f(2)?
Answer: 4
Exponential growth: raise the base to the power, then multiply by the front coefficient.
2² = 4.
4. f(x) = 3ˣ. What is f(2)?
Answer: 9
Exponential growth: raise the base to the power, then multiply by the front coefficient.
3² = 9.
5. f(x) = 5ˣ. What is f(1)?
Answer: 5
Exponential growth: raise the base to the power, then multiply by the front coefficient.
5¹ = 5.
6. f(x) = 2ˣ. What is f(0)?
Answer: 1
Exponential growth: raise the base to the power, then multiply by the front coefficient.
2⁰ = 1.
All maths topics · T-Kurs · M-Kurs · W-Kurs
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