Writing Exponential Functions (Word Problems)

Writing Exponential Functions (Word Problems)

Assessment

Flashcard

Mathematics

9th Grade

Hard

CCSS
HSF-IF.C.8B, HSF.LE.B.5, HSF.LE.A.2

+1

Standards-aligned

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a(b)^x, where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent. It represents growth or decay processes.

2.

FLASHCARD QUESTION

Front

What does it mean for a function to model exponential growth?

Back

A function models exponential growth if the base 'b' is greater than 1, indicating that the quantity increases over time.

Tags

CCSS.HSF-IF.C.8B

3.

FLASHCARD QUESTION

Front

What does it mean for a function to model exponential decay?

Back

A function models exponential decay if the base 'b' is between 0 and 1, indicating that the quantity decreases over time.

Tags

CCSS.HSF-IF.C.8B

4.

FLASHCARD QUESTION

Front

How do you identify the initial value in an exponential function?

Back

The initial value in an exponential function f(x) = a(b)^x is represented by 'a', which is the value of the function when x = 0.

Tags

CCSS.HSF.LE.B.5

5.

FLASHCARD QUESTION

Front

What is the formula for exponential decay?

Back

The formula for exponential decay is f(t) = a(1 - r)^t, where 'a' is the initial amount, 'r' is the decay rate, and 't' is time.

Tags

CCSS.HSF-IF.C.8B

6.

FLASHCARD QUESTION

Front

What is the formula for exponential growth?

Back

The formula for exponential growth is f(t) = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate, and 't' is time.

Tags

CCSS.HSF-IF.C.8B

7.

FLASHCARD QUESTION

Front

How do you convert a percentage decay rate to a decimal for use in an exponential function?

Back

To convert a percentage decay rate to a decimal, divide the percentage by 100. For example, a 30% decay rate becomes 0.30.

Tags

CCSS.HSF-IF.C.8B

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