What is the significance of the base in an exponential function?

The base determines the growth or decay rate of the function. If $$b > 1$$ , the function grows; if $$0

What is the y-intercept of the function $$f(x) = 3(4)^x$$ ?

The y-intercept is $$(0, 3)$$ because $$f(0) = 3(4)^0 = 3$$ .

What is the y-intercept of the function $$f(x) = 2(1/4)^x$$ ?

The y-intercept is $$(0, 2)$$ because $$f(0) = 2(1/4)^0 = 2$$ .

How can you determine if a function is increasing or decreasing from its graph?

If the graph rises from left to right, the function is increasing. If it falls from left to right, the function is decreasing.

What is the average rate of change of the function $$f(x) = 2(4)^x$$ between $$x = -1$$ and $$x = 0$$ ?

The average rate of change is $$-2$$ .

What does the term 'exponential growth' refer to?

Exponential growth refers to an increase that occurs at a rate proportional to the current value, often modeled by functions with a base greater than 1.

What does the term 'exponential decay' refer to?

Exponential decay refers to a decrease that occurs at a rate proportional to the current value, often modeled by functions with a base between 0 and 1.

How do you construct an exponential function from a table of values?

To construct an exponential function from a table, identify the initial value and the growth/decay factor by analyzing the ratios of consecutive outputs.

HW Key Features of 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 is the general form of an exponential function?

Back

3.

FLASHCARD QUESTION

Front

What does it mean for an exponential function to be increasing?

Back

Tags

CCSS.HSF-IF.C.7E

4.

FLASHCARD QUESTION

Front

What does it mean for an exponential function to be decreasing?

Back

Tags

CCSS.HSF-IF.C.7E

5.

FLASHCARD QUESTION

Front

What is the y-intercept of an exponential function?

Back

Tags

CCSS.HSF-IF.C.7E

6.

FLASHCARD QUESTION

Front

What is an asymptote in the context of exponential functions?

Back

Tags

CCSS.HSF-IF.C.7E

7.

FLASHCARD QUESTION

Front

How do you find the average rate of change of an exponential function?

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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