How do you identify exponential decay from a function?

You can identify exponential decay from a function by checking if the base of the exponent is between 0 and 1. For example, in $$y = (1/2)^x$$ , the base is 1/2, indicating decay.

What is the horizontal asymptote of an exponential function?

The horizontal asymptote of an exponential function is a line that the graph approaches but never touches. For functions of the form $$y = a \times b^x + k$$ , the horizontal asymptote is $$y = k$$ .

What does the graph of an exponential growth function look like?

The graph of an exponential growth function rises steeply to the right and approaches the horizontal asymptote to the left.

What does the graph of an exponential decay function look like?

The graph of an exponential decay function falls steeply to the right and approaches the horizontal asymptote to the left.

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

The y-intercept of an exponential function is the value of $$y$$ when $$x = 0$$ , which is equal to $$a$$ in the function $$y = a \times b^x$$ .

How does the value of 'a' affect the graph of an exponential function?

The value of 'a' affects the vertical stretch or compression of the graph. If $$a > 1$$ , the graph is stretched; if $$0

What is a real-world example of exponential growth?

A real-world example of exponential growth is population growth, where the population increases rapidly over time under ideal conditions.

What is a real-world example of exponential decay?

A real-world example of exponential decay is radioactive decay, where the quantity of a radioactive substance decreases over time.

Exponential Functions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

2.

FLASHCARD QUESTION

Front

What does the base of an exponential function indicate?

Back

The base of an exponential function indicates the growth or decay rate. If the base is greater than 1, the function represents exponential growth. If the base is between 0 and 1, it represents exponential decay.

Tags

CCSS.HSF-IF.C.8B

3.

FLASHCARD QUESTION

Front

What is the effect of adding a constant to an exponential function?

Back

Tags

CCSS.HSF.BF.B.3

4.

FLASHCARD QUESTION

Front

What is the effect of subtracting a constant from an exponential function?

Back

Tags

CCSS.HSF.BF.B.3

5.

FLASHCARD QUESTION

Front

What is exponential growth?

Back

Tags

CCSS.HSF-LE.A.1A

6.

FLASHCARD QUESTION

Front

What is exponential decay?

Back

Tags

CCSS.HSF-IF.C.8B

7.

FLASHCARD QUESTION

Front

How do you identify exponential growth from a function?

Back

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