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Algebra I Regents Review Task #4 (exponential functions)

Algebra I Regents Review Task #4 (exponential functions)

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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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 y = a(b^x), where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent.

2.

FLASHCARD QUESTION

Front

What does the 'a' represent in the equation y = a(b^x)?

Back

The 'a' represents the initial value or the y-intercept of the exponential function.

3.

FLASHCARD QUESTION

Front

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

Back

The base 'b' indicates the growth (if b > 1) or decay (if 0 < b < 1) factor of the function.

4.

FLASHCARD QUESTION

Front

How do you determine if a function is exhibiting exponential growth?

Back

A function exhibits exponential growth if the base 'b' is greater than 1.

5.

FLASHCARD QUESTION

Front

How do you determine if a function is exhibiting exponential decay?

Back

A function exhibits exponential decay if the base 'b' is between 0 and 1.

6.

FLASHCARD QUESTION

Front

What is the general form of an exponential decay function?

Back

The general form is y = a(1 - r)^t, where 'r' is the decay rate and 't' is time.

7.

FLASHCARD QUESTION

Front

If a culture of bacteria starts with 5000 cells and dies by 30% each year, what is the decay factor?

Back

The decay factor is 0.7, representing the remaining 70% of the population after each year.

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