What is the base of an exponential function?

The constant factor that is raised to a variable exponent, e.g., in $$y = 3^x$$ , the base is 3.

What is the effect of a base greater than 1 in an exponential function?

It results in exponential growth.

What is the effect of a base between 0 and 1 in an exponential function?

It results in exponential decay.

How do you identify exponential growth from a graph?

The graph rises steeply to the right.

How do you identify exponential decay from a graph?

The graph falls steeply to the right.

What is the general form of an exponential function?

$$y = ab^x$$ where a is a constant, b is the base, and x is the exponent.

What does the term 'asymptote' refer to in exponential functions?

A line that the graph approaches but never touches, often the x-axis in exponential decay.

What is the significance of the y-intercept in an exponential function?

It represents the initial value of the function when x=0, calculated as $$y = a$$ .

Exponential Transformations Flashcard

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16 questions

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1.

FLASHCARD QUESTION

Front

What is Exponential Growth?

Back

2.

FLASHCARD QUESTION

Front

What is Exponential Decay?

Back

3.

FLASHCARD QUESTION

Front

Back

Exponential Growth.

4.

FLASHCARD QUESTION

Front

Back

Exponential Decay.

5.

FLASHCARD QUESTION

Front

What is a vertical translation in exponential functions?

Back

6.

FLASHCARD QUESTION

Front

What is a horizontal translation in exponential functions?

Back

7.

FLASHCARD QUESTION

Front

What does a reflection across the line y=0 indicate?

Back

It indicates that the graph of the function is flipped over the x-axis.

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