Exponential Functions Flashcard

Front

What is an exponential function?

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Front

What is the half-life of a substance?

Back

The half-life is the time required for a quantity to reduce to half its initial amount. It is commonly used in radioactive decay.

Front

How do you calculate the remaining amount of a radioactive substance after a certain time?

Back

Front

What is the formula for exponential growth?

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Front

What is the formula for exponential decay?

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Front

What is an asymptote in the context of exponential functions?

Back

An asymptote is a line that a graph approaches but never touches. For exponential functions, the horizontal asymptote is often the x-axis (y=0).

Front

What is the domain of an exponential function?

Back

The domain of an exponential function is all real numbers, represented as (-∞, ∞).

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Front

What does it mean if a function is increasing exponentially?

Back

A function is increasing exponentially if its value grows at a rate proportional to its current value, leading to rapid growth.

Front

What does it mean if a function is decreasing exponentially?

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A function is decreasing exponentially if its value decreases at a rate proportional to its current value, leading to rapid decay.