What is the formula for exponential growth?

The formula for exponential growth is $$f(x) = a \times (1 + r)^x$$ , where 'r' is the growth rate.

What is the formula for exponential decay?

The formula for exponential decay is $$f(x) = a \times (1 - r)^x$$ , where 'r' is the decay rate.

What does the term 'rate of change' refer to in exponential functions?

The rate of change in exponential functions refers to how quickly the function's value increases or decreases, determined by the base 'b'.

If $$f(x) = 300(1.16)^x$$ , what is the initial value?

The initial value is 300, which is the value of the function when $$x = 0$$ .

What does it mean if an exponential function has a base less than 1?

If an exponential function has a base less than 1, it indicates that the function is experiencing exponential decay.

How can you determine the initial value from an exponential equation?

The initial value can be determined by evaluating the function at $$x = 0$$ , which gives $$f(0) = a$$ .

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

The y-intercept of an exponential function is the initial value, representing the starting point of the function on the graph.

What is the difference between linear and exponential functions?

Linear functions have a constant rate of change, while exponential functions have a variable rate of change that increases or decreases exponentially.

Exponential Functions Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

2.

FLASHCARD QUESTION

Front

What does the base 'b' in an exponential function represent?

Back

Tags

CCSS.HSF-IF.C.8B

3.

FLASHCARD QUESTION

Front

What is the initial value in an exponential function?

Back

4.

FLASHCARD QUESTION

Front

How do you identify exponential growth from an equation?

Back

Tags

CCSS.HSF-IF.C.8B

5.

FLASHCARD QUESTION

Front

How do you identify exponential decay from an equation?

Back

Tags

CCSS.HSF-IF.C.8B

6.

FLASHCARD QUESTION

Front

What is the graph of an exponential growth function like?

Back

The graph of an exponential growth function rises steeply as 'x' increases, starting from the initial value.

Tags

CCSS.HSF-IF.C.7E

7.

FLASHCARD QUESTION

Front

What is the graph of an exponential decay function like?

Back

The graph of an exponential decay function falls steeply as 'x' increases, approaching the x-axis but never touching it.

Tags

CCSS.HSF-IF.C.7E

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