Exponential Functions

Exponential Functions

Assessment

Flashcard

Mathematics

9th Grade

Hard

CCSS
HSF-IF.C.8B, HSF-IF.C.7E, HSF-LE.A.1A

Standards-aligned

Created by

Wayground Content

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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 a positive real number, and 'x' is the exponent. It shows rapid growth or decay.

2.

FLASHCARD QUESTION

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when a quantity increases by a constant percentage over time, while exponential decay occurs when a quantity decreases by a constant percentage over time.

Tags

CCSS.HSF-IF.C.8B

3.

FLASHCARD QUESTION

Front

What is the general form of an exponential growth function?

Back

The general form is f(x) = a(1 + r)^x, where 'a' is the initial amount and 'r' is the growth rate.

4.

FLASHCARD QUESTION

Front

What is the general form of an exponential decay function?

Back

The general form is f(x) = a(1 - r)^x, where 'a' is the initial amount and 'r' is the decay rate.

Tags

CCSS.HSF-IF.C.8B

5.

FLASHCARD QUESTION

Front

How do you identify an exponential growth graph?

Back

An exponential growth graph rises steeply as x increases, showing a J-shaped curve.

Tags

CCSS.HSF-IF.C.7E

6.

FLASHCARD QUESTION

Front

How do you identify an exponential decay graph?

Back

An exponential decay graph falls steeply as x increases, approaching the x-axis but never touching it.

Tags

CCSS.HSF-IF.C.7E

7.

FLASHCARD QUESTION

Front

What is the y-intercept of an exponential function?

Back

The y-intercept is the initial value of the function, found by evaluating f(0). For f(x) = a(b^x), it is 'a'.

Tags

CCSS.HSF-IF.C.7E

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