What is an exponential function?
Exponential Functions Review

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•
Mathematics
•
8th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
An exponential function is a mathematical function of the form y = a(b^x), where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent. It represents growth or decay processes.
2.
FLASHCARD QUESTION
Front
What does it mean for a population to decrease by a certain percentage each year?
Back
It means that each year, the population is reduced by that percentage of its current size. For example, a 30% decrease means that 70% of the population remains.
3.
FLASHCARD QUESTION
Front
Write the equation for a population of 5000 cells decreasing by 30% each year.
Back
y = 5000(0.7)^x
4.
FLASHCARD QUESTION
Front
What is the y-intercept of an exponential function?
Back
The y-intercept is the value of 'y' when 'x' is 0. For the function y = a(b^x), the y-intercept is 'a'.
5.
FLASHCARD QUESTION
Front
If a population of deer decreases by 1.5% per year, what is the decay factor?
Back
The decay factor is 1 - 0.015 = 0.985.
6.
FLASHCARD QUESTION
Front
How do you find the number of deer after 20 years if the initial population is 1500 and decreases by 1.5% per year?
Back
Use the formula y = 1500(0.985)^20.
7.
FLASHCARD QUESTION
Front
What is the domain of an exponential function?
Back
The domain of an exponential function is all real numbers, denoted as x ∈ ℝ.
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