What is an exponential function?
Exponential Functions Test

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Mathematics
•
11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
An exponential function is a mathematical function of the form f(x) = a * b^x, where 'a' is a constant, 'b' is a positive real number, and 'x' is the exponent. It represents growth or decay depending on the value of 'b.'
2.
FLASHCARD QUESTION
Front
What is the difference between exponential growth and exponential decay?
Back
Exponential growth occurs when the base 'b' in the function f(x) = a * b^x is greater than 1, leading to an increase in value as 'x' increases. Exponential decay occurs when 'b' is between 0 and 1, resulting in a decrease in value as 'x' increases.
3.
FLASHCARD QUESTION
Front
Identify the type of function: f(x) = 2(1/7)^x.
Back
Exponential Decay.
4.
FLASHCARD QUESTION
Front
Identify the type of function: y = 7(5/4)^x.
Back
Exponential Growth.
5.
FLASHCARD QUESTION
Front
What is the formula for compound interest?
Back
The formula for compound interest is A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, P is the principal amount (initial investment), r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the number of years.
6.
FLASHCARD QUESTION
Front
Calculate the amount in the account after 4 years if $2,200 is invested at 5.2% interest compounded daily.
Back
$2708.63.
7.
FLASHCARD QUESTION
Front
What does it mean if a function is increasing?
Back
A function is increasing if, as the input (x) increases, the output (f(x)) also increases.
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